SPEED TIME AND DISTANCE Question Sheet (TO AND FRO MOTION)
- Jul 15
- 8 min read
Table Of Content
Practice Question
Answer Key
SPEED TIME AND DISTANCE Question
Q.1 Two trains A and B start simultaneously at 10am from cities P and Q towards each other at the speed of 60 and 80 kmph respectively. They meet at point R at 10 pm. After how long will they reach their respective destinations Q and P?
a.10 h, 8 h
b.16 h, 9 h
c.10 h, 12 h
d.None of these
Q.2 Two people W and X start from two points Y and Z walking towards each other's starting points. They met along the way and then W takes 18 minutes more while X takes 50 minutes more to reach their destinations. How much time after starting did they meet?
a.32 min
b.28 min
c.30 min
d.None of these
Q.3 Atul starts walking from city A towards city B at 7:00 am and Amit starts walking from city B towards city A at the same time and after meeting at city C (A place between A and B) they both reach their destinations in 50 & 32 minutes respectively. What was the time, when they meet at city C?
a.7:36 am
b.7:45 am
c.7:50 am
d.7:40 am
Q.4 Two runners A and B start running at 12 km/h and 15 km/h towards each other. They meet after 1 hour and 30 minutes. How far were they form each other when they started?
a.18 km
b.22.5 km
c.40.5 km
d.45 km
Q.5 A straight road connects points A and B. Car 1 travels from A to B and Car 2 travels from B to A, both leaving at the same time. After meeting each other, they take 45 minutes and 20 minutes, respectively, to complete their journeys. If Car 1 travels at the speed of 60 km/hr, then the speed of Car 2, in km/hr, is
a.70
b.80
c.90
d.100
Q.6 A and B are two points on a straight line. Ram runs from A to B while Rahim runs from B to A. After crossing each other, Ram and Rahim reach their destinations in one minutes and four minutes, respectively. If they start at the same time, then the ratio of Ram's speed to Rahim's speed is
a.1/2
b.√2
c.2√2
d.2
Q.7 Two friends A and B leave City P and City Q simultaneously and travel towards Q and P at constant speeds. They meet at a point in between the two cities and then proceed to their respective destinations in 54 minutes and 24 minutes respectively. How long did B take to cover the entire journey between City Q and City P?
a.24
b.36
c.48
d.60
Q.8 Car A trails car B by 50 meters. Car B travels at 45km/hr. Car C travels from the opposite direction at 54km/hr. Car C is at a distance of 220 meters from Car B. If car A decides to overtake Car B before cars B and C cross each other, what is the minimum speed at which car A must travel?
a.18 km/h
b.36 km/h
c.45 km/h
d.67.5 km/h
Q.9 City A to City B is a downstream journey on a stream which flows at a speed of 5km/hr. Boats P and Q run a shuttle service between the two cities that are 300 kms apart. Boat P, which starts from City A has a still-water speed of 25 km/hr, while boat Q, which starts from city B at the same time has a still-water speed of 15 km/hr. When and where will they meet for the second time?
a.7.5 hrs, 200 km from city A
b.10 hours, 200 km from city A
c.7.5 hours, 200 km from city B
d.20 hours, 200 km from city B
Q.10 Two cars Started Simultaneously towards each other from town A and B , that are 480 km apart. It took the first car travelling from A to B, 8 hours to cover the distance and the second car travelling from B to A, 12 hrs. Determine at what distance from A the two cars meet?
a.288 km
b.200 km
c.300 km
d.196 km
Q.11 P cycles at a speed of 4 m/s for the first 8 seconds, 5 m/s for the next 8 seconds, 6 m/s for the next 8 and so on. Q cycles at a constant speed of 6.5 m/s throughout. If P and Q had to cycle for a 436 m race, how much lead in terms of distance, can P give Q and still finish at the same time as Q?
a.43.4 m
b.46 m
c.56.6 m
d.P cannot give a lead as Q always ahead of P
Q.12 Tom, Jerry and Bill start from point A at the same time in their cars to go to B. Tom reaches point B first and turns back and meets Jerry at a distance of 9 miles from B. When Jerry reaches B, he too turns back and meets Bill at a distance of 7 miles from B. If 3 times the speed with which Tom drives his car is equal to 5 times Bill’s speed, what could be the distance between the points A and B?
a.24 miles
b.31 miles
c.40 miles
d.63 miles
Q.13 The distance from B to C is thrice that from A to B. Two trains travel from A to C via B. The speed of train 2 is double that of train 1 while traveling from A to B and their speeds are interchanged while traveling from B to C. The ratio of the time taken by train 1 to that taken by train 2 in travelling from A to C is
a.1 : 4
b.4 : 1
c.5 : 7
d.7 : 5
Q14 A motorbike leaves point A at 1 pm and moves towards point B at a uniform speed. A car leaves point B at 2 pm and moves towards point A at a uniform speed which is double that of the motorbike. They meet at 3:40 pm at a point which is 168 km away from A. What is the distance, in km, between A and B?
a.364
b.378
c.380
d.388
Q.15 Point P lies between points A and B such that the length of BP is thrice that of AP. Car 1 starts from A and moves towards B. Simultaneously, car 2 starts from B and moves towards A. Car 2 reaches P one hour after car 1 reaches P. If the speed of car 2 is half that of car 1, then the time, in minutes, taken by car 1 in reaching P from A is:
Q.16 The distance from A to B is 60 km. Partha and Narayan start from A at the same time and move towards B. Partha takes four hours more than Narayan to reach B. Moreover, Partha reaches the mid-point of A and B two hours before Narayan reaches B. The speed of Partha, in km per hour, is
a.3
b.4
c.5
d.6
Q.17 Mr. Tata always goes for a morning walk from his home to the Gateway of India, his pet dog is faster than him and starts with him, reaches Gateway of India and come back to Mr. Tata, again go to gateway of India and come back to him, it repeats this process by the time Mr. Tata reaches Gateway of India. Speed of Mr. Tata is 60 m/sec and dog is 90 m/sec and distance of Gateway of India from home is 2400 meters. What is the ratio of distance travelled by the dog from home to Gateway of India and Gateway of India to home?
a.5 : 2
b.6 : 1
c.5 : 1
d.None of these
Q.18 Mr. Slow drives at a speed of 25 kmph while Mr. Fast drives at a speed of 50 kmp. Both drivers frove from point P to the point Q and then immediately return to the point P. Mr. Slow started at 8 am while Mr. Fast started at 10 am. Mr. Fast reached point Q and on his way back to the point P, he meets Mr. Slow, who was still on his way to point Q at 12:40 pm. Calculate the distance between points P and Q.
a.250 km
b.120 km
c.125 km
d.130 km
Q.19 Two friends named Ajay and Vijay simulaneously started swimming from points A and B repectively towards points B and A respectivley with the constant speed. On reaching points B and A repectively, they immediately turn back and run towards their starting points with same speed. They continue swimming this way, they meet each other at a point 500 m away from A during their first meeting and at a point 300 m from B in their second meeting. calculate the distance of their third meeting point from point A.
a.1100 m
b.500 m
c.100 m
d.None of these
Q.20 Everyday I go for a morning to a hill at a distance of 3 km from my home. Today, my dog, Rocky also accompanied me. He left home with me and ran to the hill at a speed three times that of my walking speed. On reaching the hill, he immediately reversed his direction and ran towards me at the same speed. On meeting me, he again ran towards the hill at the same speed. This process continued till I reached the hill. Calculate the total distance run by rocky towards the hill.
a.3 km
b.9 km
c.5 km
d.6 km
Q.21 Two trains, named A and B are at a distance of 200 km and they simultaneously start towards each other at a equal speed of 100 kmph. A bird, who is perched on the engine of train A starts flying towards train B at a speed 200 kmph. The bird keep flying between the two trains at the same speed without stopping till two trains meet. Calculate the distance travelled by the bird in the direction from train B to train A.
a.75 km
b.50 km
c.100 km
d.25 km
Q.22 Distance between X and Y is 900 km. Vikas and Sumit can cover the distance between X and Y in ‘t’& (t + 4) hours respectively. If Sumit and Vikas starts from X at 12.00 pm and 2.00 pm respectively and both meets at 4.30 pm, then find the distance from X where they meet.
a.250 km
b.350 km
c.450 km
d.550 km
Q.23 Two trains start at the same time, one from A to B and the other from B to A. If they arrive at B and A respectively 9 hrs and 25 hrs after they passed each other, then what is the ratio of speeds of the train starting from A and that of the other starting from B?
a.7 : 4
b.2 : 1
c.8 : 5
d.5 : 3
Q.24 Rajesh started walking towards his home from a point 6 km away. At the same time, his dog started running from home towards him at twice the speed of Rajesh. The dog met Rajesh, then immediately rveresed his direction and ran towards the home at the same speed. The dog continued running between home and Rajesh till the time Rajesh reached home. calculate the total distance run by the dog.
a.6 km
b.18 km
c.10 km
d.12 km
Q.25 Two guns were fired from same place at an interval of 28 min. But a man sitting in train going away from the place hears the second firing 31 minutes after the first. If the speed of train is 30 km/h, find the speed of sound.
a.280 km/h
b.310 km/h
c.340 km/h
d.370 km/h
Q.26 A and B are running around a circular track in opposite directions. They meet at a point 450 m from the starting point and continue running. They now meet at a point 300 m from the starting point, but in the opposite direction as before. The length of the track could be
a.1200 m
b.750 m
c.1050 m
d.1000 m
Q.27 There is a tunnel connecting cities A &B . There is a CAT which is standing at 3/8 the length of the tunnel from A. It listens the whistle of a train and starts running towards the entrance where, the train and the CAT meet. In another case, the CAT starts running towards the exit and meets the train again at the exit. What is the ratio of their speeds?
a.1 : 2
b.4 : 1
c.8 : 1
d.None of these
ANSWERS FOR SPEED TIME AND DISTANCE QUESTION (TO AND FRO MOTION)
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