**Time and Distance Question **Practice Question and Answer

8## Q: A travels 25% faster than B. They started their journey from a point P to another point Q and reach at the same time on point Q. Distance between P and Q is 85 km. On the way, however, A lost about 20 minutes while stopping for petrol. What was the speed of B?

363 064f848b81778d5be471fb11f

64f848b81778d5be471fb11f- 151 km/hrtrue
- 250 km/hrfalse
- 345 km/hrfalse
- 475 km/hrfalse
- 5None of thesefalse

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## Answer : 1. "51 km/hr"

## Q: Speed of boat in still water is 9 km/hr. Stream speed initially is 2 km/hr but it increases by 3 km/hr after every hour. Find the time after which boat will come back to the position where it started.(in hour)

398 064f841fe1778d5be471f9616

64f841fe1778d5be471f9616- 15(5/8)true
- 24(7/8)false
- 35(3/8)false
- 44(3/4)false
- 5None of thesefalse

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## Answer : 1. "5(5/8)"

## Q: Akhil takes 30 minutes extra to cover a distance of 150 km if he drives 10 km/h slower than his usual speed. How much time will he take to drive 90 km if he drives 15 km per hours slower than his usual speed?

669 06489bddaa33e0f47b78d0eec

6489bddaa33e0f47b78d0eec- 12h 45mfalse
- 22h 30mfalse
- 32htrue
- 42h 15mfalse

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## Answer : 3. "2h "

Explanation :

Let's use the information given to calculate Akhil's usual speed first.

We know that Akhil takes 30 minutes (0.5 hours) extra to cover a distance of 150 km when he drives 10 km/h slower than his usual speed.

Let "S" be Akhil's usual speed in km/h. So, his slower speed would be (S - 10) km/h.

The time taken to cover a distance is equal to the distance divided by the speed: Time = Distance / Speed

At his usual speed, it takes him: Time at usual speed = 150 km / S hours

At the slower speed, it takes him: Time at slower speed = 150 km / (S - 10) hours

The difference in time between these two scenarios is 0.5 hours (30 minutes): Time at slower speed - Time at usual speed = 0.5 hours

Now, we can set up the equation and solve for S:

(150 km / (S - 10)) - (150 km / S) = 0.5

To solve this equation, we'll first get a common denominator: [150S - 150(S - 10)] / [S(S - 10)] = 0.5

Now, simplify and solve for S: [150S - 150S + 1500] / [S(S - 10)] = 0.5

1500 / [S(S - 10)] = 0.5

Now, cross-multiply: 2 * 1500 = S(S - 10)

3000 = S^2 - 10S

S^2 - 10S - 3000 = 0

Now, we can solve this quadratic equation for S using the quadratic formula:

S = [-(-10) ± √((-10)^2 - 4(1)(-3000))] / (2(1))

S = [10 ± √(100 + 12000)] / 2

S = [10 ± √12100] / 2

S = [10 ± 110] / 2

Now, we have two possible values for S, but we'll take the positive one because speed cannot be negative:

S = (10 + 110) / 2 = 120/2 = 60 km/h

So, Akhil's usual speed is 60 km/h.

Now, we want to find out how much time he will take to drive 90 km when he drives 15 km/h slower than his usual speed, which would be (60 - 15) = 45 km/h.

Time = Distance / Speed Time = 90 km / 45 km/h = 2 hours

Akhil will take 2 hours to drive 90 km when he drives 15 km/h slower than his usual speed.

## Q: Running at the speed of 3 km/hr., a person reaches his destination 10 minutes later than usual time. if he increases his speed by 1 km/hr., he reaches his destination 15 min earlier. and the distance to his destination.

390 064e5e3e0646d8ab6ebd7ad9f

64e5e3e0646d8ab6ebd7ad9f- 110 kmfalse
- 212 kmfalse
- 35 kmtrue
- 44 kmfalse
- 5None of thesefalse

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## Answer : 3. "5 km "

## Q: A man can row 52 km upstream and 42 km downstream in 10 hours. It is also known that he can row 66 km downstream and 60 km upstream in 13 hours. Find the speed of the man in still water.

423 064ddf1f974cca4494978a953

64ddf1f974cca4494978a953- 18 km/hrfalse
- 212 km/hrfalse
- 36 km/hrfalse
- 410 km/htrue
- 5None of thesefalse

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## Answer : 4. "10 km/h"

## Q: A bus can travel a distance of 1330 Km in 19 hours. Speed of a bike is 50% less than the speed of the bus and speed of a cycle is 15 Km/h less than the speed of the bike. Find the respective ratio of the time taken by cycle and bike to cover a distance of 280 km.

355 064ddf18e462ecdc3adb968be

64ddf18e462ecdc3adb968be- 14: 7false
- 25: 7false
- 37: 4true
- 43: 4false
- 55: 4false

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## Answer : 3. "7: 4"

## Q: A man travels from Point P to Q with 90 km/hr and from Q to R with 60 km/hr. Total distance between P to R is 200 km. If his average speed is 75 km/hr then find the distance between P and Q.

445 064d5d23290a003851de86caa

64d5d23290a003851de86caa- 180 kmfalse
- 2120 kmtrue
- 3100 kmfalse
- 4150 kmfalse
- 5None of the given optionsfalse

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## Answer : 2. "120 km"

## Q: A takes 2 hours more than B to cover a distance of 40 km. If A doubles his speed, he takes $$1{1\over 2} $$ hours more than B to cover 80 km. To cover a distance of 90 km, how much time will B take travelling at his same speed?

297 064bfb83ea2d4dcaf044d54a3

64bfb83ea2d4dcaf044d54a3- 1$$1{3\over 8}$$ hoursfalse
- 2$$1{1\over 8}$$ hourstrue
- 3$$1{1\over 6}$$ hoursfalse
- 4$$1{1\over 3}$$ hoursfalse

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