Question
Madan, Naveen and Jeevan are working in the same
company. They ride from their apartments to their company with speeds in the ratio 2 : 5 : 7. If, in total, they take 177 minutes (sum of the time taken by each one) to cover the distance (which is the same for all), then find the time taken by Jeevan to cover the distance.Solution
Speeds are in the ratio 2:5:7, so times are in the inverse ratio 1/2 : 1/5 : 1/7. Taking LCM of 2, 5, 7 = 70: Madan's time = 70/2 = 35x Naveen's time = 70/5 = 14x Jeevan's time = 70/7 = 10x Total time = 35x + 14x + 10x = 59x = 177 minutes So, x = 177 / 59 = 3 Jeevan's time = 10x = 30 minutes.
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