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Two horses started simultaneously towards each other and meet each other 3 hr 20 mins later. How much time will it take the slower horse to cover the whole distance if the first arrived at the place of departure of the second 5 hours later than the second arrived at the point of departure of the first?
Answer & Solution
Correct Answer:
Option
A
Since, the two horses meet after 200 minutes; they cover 0.5% of the distance per minute (combined) or 30% distance per hour. This condition is satisfied only if the slower rider takes 10 hours (thereby covering 10% per hour) and the faster rider takes 5 hours.
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Loginlet t = travel time of the slower horse
then
(t-5) = travel time of faster horse
d/t = speed of the slower horse
and
d/t-5 = speed of the faster horse
2 horses started simultaneously towards each other and meet each other 3hr20min later.
Slow horse dist + fast horse distance = total distance,
d/t*10/3+d/(t-5)*10/3 = d
we get t=10