UP TGT Mathematics Commercial Mathematics Test Series - Part 4
A man covers a certain distance by train, bus, and car in the ratio 4 : 3 : 2 of distances. The speeds of train, bus, an...
Type: MCQ • Marks: 1
A man covers a certain distance by train, bus, and car in the ratio 4 : 3 : 2 of distances. The speeds of train, bus, and car are in the ratio 1 : 2 : 3. If total time taken is 18 hours, find time spent on train.
Options
A. 1) 14 hours
B. 2) 12 hours
C. 3) 10 hours
D. 4) 8 hours
Explanation
Distance ratio = 4d : 3d : 2d. Speed ratio = s : 2s : 3s.
Time taken = (4d/s) + (3d/2s) + (2d/3s) = d/s * (4 + 1.5 + 0.667) = d/s * (37/6) = 18 hours => d/s = 108/37.
Time on train = 4 * (d/s) = 12 hours.
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