Question 67

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?

Let the speed of Ram be 'v' kmph
Time taken by Shyam be 't' hrs
Distance = Speed $$\times$$ Time
60 = v (t + 1)
After doubling the speed,
60 = 2v(t - 0.5)
Simplifying them, we get
v (t + 1) = 2v (t - 0.5)
t = 2
v = 60/3 = 20 kmph

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