Speed, Time and Distance


  1. Two boys begin together to write out a booklet containing 817 lines. The first boy start with first line, writing at rate of 200 lines an hour and the second boys start with a last line. He writes line 817 and so on backwards proceeding at the rate of 150 lines an hour. An what line will they meet ?









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    Let the two meet at the Nth line
    From the question
    Nth/200 = (817 - Nth)/150

    Correct Option: C

    Let the two meet at the Nth line
    From the question
    Nth/200 = (817 - Nth)/150
    ⇒ 3Nth = 4(817-Nth)
    ⇒ Nth = (4 x 817) / 7
    ∴ Nth = 466.85
    So, they will meet at the 467th line


  1. Two car A and B are running toward each other from two different place 88 km apart. If the ratio of the speed of the car A and B is 5:6 and the speed of the car B is 90 km per hour, after how long will the two meet each other ?









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    Speed of the car A = 5/6 X 90
    = 75 km/hr.

    Correct Option: C

    Speed of the car A = (5 / 6) x 90
    = 75 km/hr.

    ∴ Required time = [ 88 / (90 +75)] x 60
    = 32 minutes



  1. In a circus there was a leopard and a tiger walking in the two different rings of same radii. There I observed that when leopard moved 3 steps, tiger moved 5 steps in the same time,but the distance traversed by leopard in 5 step is equal to the distance traversed by tiger in 4 steps. what is the number of rounds that a leopard made when tiger completed 100 rounds?









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    The ratio of speeds = The ratio of distances, when time is constant
    ∴ The ratio of distance covered by leopard to the tiger = 12 : 25
    Again, ratio of rounds made by leopard to the tiger = 12 : 25

    Correct Option: B

    The ratio of speeds = The ratio of distances, when time is constant
    ∴ The ratio of distance covered by leopard to the tiger = 12 : 25
    Again, ratio of rounds made by leopard to the tiger = 12 : 25
    hence, leopard makes 48 rounds, when tiger makes 100 rounds


  1. A thief sees a jeep at a distance of 250 m, coming towards him at 36 km/h. Thief takes 5 seconds to realise that there is nothing but the police is approaching him by the jeep and start running away from police at 54 km/h. But police realise after 10 seconds, when the thief starts running away, that he is actually a thief and gives chase at 72 km/h. how long after thief saw police did police catchup with him and what is the distance police had to travel to do so ?









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    Initial speed of police = 10 m/s
    Increased speed of police = 20 m/s
    Speed of thief = 15 m/s
    Initial difference between thief and police = 250 m
    After 5 seconds difference between thief and police = 250 - (5 x 10) = 200 m
    After 10 seconds more, the difference between thief and police = 200 + (5 x 10) = 250 m.
    Now, the time required by police to catch the thief = 250/5 = 50 sec.

    Correct Option: B

    Initial speed of police = 10 m/s
    Increased speed of police = 20 m/s
    Speed of thief = 15 m/s
    Initial difference between thief and police = 250 m
    After 5 seconds difference between thief and police = 250 - (5 x 10) = 200 m
    After 10 seconds more, the difference between thief and police = 200 + (5 x 10) = 250 m.
    Now, the time required by police to catch the thief = 250/5 = 50 s
    Distance travelled = 50 x 20 = 1000 m
    Total time = 50 + 15 = 65 sec
    Total distance = 1000 + (15 x 10) = 1150 m



  1. Den Bosh and Eastbourne are two famous cities 300 km apart. Maradona starts from Den Bosch at 8 : 24 am. An hour later Pele starts from Den Bosch. After travelling for 1 hour, Pele reaches Nottingham that Maradona had passed 40 minutes earlier. Nottingham falls on the way from Den Bosh to Eastbourne at the same time, what is the speeds of the time Maradona and Pele respectively?









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    speed

    Correct Option: D

    Let pele covers D km in 1 hours. So Maradona takes (2 h - 40 min) = 1 h 20 min to cover D km.

    Let speed of Maradona and pele be M and P respectively than.
    D = M x 4/3 and D = P x 1
    M/P = 3/4
    Again, 300/M - 300/P = 1
    300/3k - 300/4k = 1
    k = 25
    M = 3k = 75 km/h and
    P = 4k = 100 km/h