Subject
Quantitative Aptitude
Topic
Speed & Distance
Prakash runs 2 km in 4 min and Shikha in 4 min 10 sec. How many meters start must Prakash give Shikha so that the race may end in a dead heat?
Prakash runs 2 km in 4 min and Shikha in 4 min 10 sec. How many meters start must Prakash give Shikha so that the race may end in a dead heat?
ক)
80 mখ)
72 mগ)
85 mঘ)
77 mঙ)
89 mExplanation
Speed = distance/time Time taken by Prakash to run 2000m = 4 min = 4 × 60 = 240 sec ∴ Speed of Prakash, x = 2000/240 m/s Time taken by Shikha to run 2000m = 4min 10sec = 4 × 60 + 10 = 250 sec ∴Speed of Shikha, y = 2000/250 m/s To meet dead heat, both of them must complete the race in equal time, i.e. 240 sec Difference in speeds = x – y = Total distance by which Shikha should be ahead of Prakash at the beginning of the raceRelated questions
A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat (in still water) and the stream is:Speed of a boat in standing water is 9 kmph and the speed of the stream is 5 kmph. A man rows to a place at a distance of 105 km and comes back to the starting point. The total time taken by him is:two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1/10 km and 9 km respectively. The time taken by slower train to cross the faster train in seconds is -A man can row three-quarters of a kilometre against the stream in 11×(1/4) minutes and down the stream in 7×(1/2) minutes. The speed (in km/hr) of the man in still water is:In a 300 m race A beats B by 5 metre or 6 seconds. B's time over the course is -A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 5 km in stationary water?A boat covers a certain distance downstream in 1 hour, while it comes back in 1x(1/2) hours. If the speed of the stream be 3 kmph, what is the speed of the boat in still water?A man buys tk 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is-