Ram and Shyam are travelling from point A to B which are 60km apart Travelling at a certain speed Ra...........

Quantitative Aptitude ( CCS) Time & distance

Ram and Shyam are travelling from point A to B, which are 60km apart. Travelling at a certain speed Ram takes one hour more than Shyam to reach point B. If Ram doubles his speed he will take 30 minutes less than Shyam to reach point B. At what speed was Ram driving from point A to B?

15 kmph

35 kmph

30 kmph

20 kmph

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Explanation:

AB = 60 km
Ram’s speed = x kmph
Shyam’s speed = y kmph
Case I, 60/x - 60/y = 1 ………….. (i)
Case II, 60/y – 60/2x = 30/60 = ½ ……………. (ii)
On adding equations (i) and (ii)
60/x – 60/2x = 1 + ½
= 60/x – 30/x = 3/2
= (60 - 30)/x = 3/2
= 3x = 30 × 2
= x = (30 x 2)/3 = 20 kmph.