# Time Speed and Distance Questions for CAT

CAT 2020 MOCK Test Series at INR 1000/- only.
Question 36: A boat goes 50 km upstream in 10 hours and a distance of 40 km downstream in 8 hours. The speed of the boat in still water is
 0 kmph
 10 kmph
 7.2 kmph
 5 kmph

Option: 4

Explanation:

Speed upstream = 50/10 = 5 kmph.

Speed downstream = 40/8 = 5 kmph.

Since both these speeds are equal, it means that the water is still.

Two cyclists start from the same place to ride in the same direction. A starts at noon at 8 kmph while B starts at 2 pm at the rate of 10 kmph.

Question 37: How far will A have ridden before he is overtaken by B?
 76 km
 80 km
 84 km
 75 km

Option: 2

Explanation:

By the time B starts, A has already covered 16 km.

Difference between B's speed and A's speed is 2 km/hr.

So, total time for B to catch up with A will be $\frac{{16}}{2}$ i.e.. 8 hrs.

:. At 10 pm, B will overtake A.

Distance covered by A before he is overtaken by B = 10 x 8 = 80 km.

i.e. A and B will be 5 km apart at $\frac{{11}}{2}$ hrs after A's start and $\frac{{21}}{2}$ hrs after B's start, i.e. at 7.30 pm and 12.30 am next day.

Hence required answers are 80 km, 7.30 pm and 12.30 am next day.

Question 38: At what times A and B will be 5 km apart?
 7.30 pm on the same day and 1.30 am on the next day.
 7.30 pm on the same day and 12.30 am on the next day.
 8.30 pm on the same day and 1.30 am on the next day.
 8.30 pm on the same day and 12.30 am on the next day.

Option: 2

Explanation:

By the time B starts, A has already covered 16 km.

Difference between B's speed and A's speed is 2 km/hr.

So, total time for B to catch up with A will be $\frac{{16}}{2}$ i.e.. 8 hrs.

:. At 10 pm, B will overtake A.

Distance covered by A before he is overtaken by B = 10 x 8 = 80 km.

i.e. A and B will be 5 km apart at $\frac{{11}}{2}$ hrs after A's start and $\frac{{21}}{2}$ hrs after B's start, i.e. at 7.30 pm and 12.30 am next day.

Hence required answers are 80 km, 7.30 pm and 12.30 am next day.

Question 39: A train runs at 45 kmph. How far does it go in 6 seconds?
 45 m
 60 m
 75 m
 55 m

Option: 3

Explanation:

$45 \times \frac{5}{{18}} \times 6 = 75m$

Question 40: If the speed of train is 92.4 kmph, then how many metres does it cover in 20 minutes?
 30800 m
 32800 m
 38200 m
 35500 m