Mr X decides to travel from Delhi to Gurgaon at a uniform speed and decides to reach Gurgaon after T...........

Quant (SSC) Time & distance

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Mr. X decides to travel from Delhi to Gurgaon at a uniform speed and decides to reach Gurgaon after T hr. After 30 km, there is some engine malfunction and the speed of the car becomes 4/5th of the original speed. So, he travels the rest of the distance at a constant speed 4/5th of the original speed and reaches Gurgaon 45 minutes late. Had the same thing happened after he travelled 48 km, he would have reached only 36 minutes late. What is the distance between Delhi and Gurgaon?

90 km

120 km

20 km

40 km

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Explanation:

Let the distance from Delhi to Gurgaon be ‘d’ km.
The first 30 km he travels at his usual speed. However, the remaining ‘d-30’ km he travels at a reduced speed.

Dividing (1) by (2) and solving for d, we get d = 120 km.