Arithmetic

Time, Speed & Distance

Medium

A car covers a certain distance in 7 hours with a uniform speed. The same distance could have been covered in 6 hours if the speed of the car was increased by 10 Km/h. What is the distance covered?

360 km

470 km

420 km

300 km

✅ Correct Option: 3

Let the original speed be $s$ km/h.

In the first scenario, the car travels for 7 hours at speed $s$ :

Distance $= s \times 7 = 7s$

In the second scenario, the car travels for 6 hours at speed $(s + 10)$ :

Distance $= (s + 10) \times 6 = 6(s + 10)$

Since the distance is the same in both scenarios:

$7s = 6(s + 10)$

$7s = 6s + 60$

$7s - 6s = 60$

$s = 60$ km/h

The distance covered is:

Distance $= 7s$

Distance $= 7 \times 60$

Distance $= 420$ km

Therefore, the distance covered is 420 km.

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A car covers a certain distance in 7 hours with a uniform speed. The same distance could have been covered in 6 hours if the speed of the car was increased by 10 Km/h. What is the distance covered?

Solution

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