Speed Time and Distance Test Paper 4

The Correct answer is (B)

Answer with explanation:

Let the speed of bus and car is 8X and 6X.

Speed of car=²⁰⁰⁄₂→100 km/hr

So, 6X= 100

X=¹⁰⁰⁄₆→ (50 )/3 km/hr

Speed of bus= 8X → 8 *⁵⁰⁄₃=⁴⁰⁰⁄₃= 133.3 km/hr (Option B)

The Correct answer is (D)

Answer with explanation:

Total distance = 300 km

The total time taken to cover the first 300 km is the sum of the time taken to cover the first 150 km and the next 150 km.

The Correct answer is (C)

Answer with explanation:

Let the actual speed of the car = X km/hr

∴ the car is moving at X *⁶⁄₉km/hr

Distance = 50 km

Time taken to cover 50 km= 1 hour 40 minutes →1+⁴⁰⁄₆₀= 5/3 hrs

Distance = Speed x Time

50 = X *⁶⁄₉*⁵⁄₃

The Correct answer is (C)

Answer with explanation:

Let both of them meet after time T

Distance travelled by Peter = Speed x Time

Distance travelled by Tom = Speed x Time

Now, the sum of the distances covered by them would be equal to the circumference of the track.

35 T = 735 * 9

35 T = 6615

T =⁶⁶¹⁵⁄₃₅= 189 seconds

Time in minutes =¹⁸⁹⁄₆₀ = 3.15 minutes (Option C)

The Correct answer is (A)

Answer with explanation:

Let the speed of the river = X km/hr

So, speed of man with the flow (downward speed) = 10 + X

Similarly speed of man against the flow (upward speed) = 10 - X

Let the man covers a distance Y.

So time taken to cover the distance Y when he swims up the river would be double of the time taken to cover the distance Y when he swims down the river.

So, ^Y⁄_10-X = 2 *^Y⁄_10+X

10Y + XY = 20Y -2XY

XY + 2XY = 20Y - 10 Y

3XY= 10Y

3X =^10Y⁄_Y

3X = 10

X =¹⁰⁄₃km/hr (Option A)