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Secondary SchoolMath 5+3 pts
A car is climbing u to hill at a speed of 90 kmph.A rabbit,sitting at topof hill spot the car when it is 1170km away and astart running down the hill toward the car at a speed of 140 kmph.As soon a it meets the car, the rabbit turn back toward the too of hill at 120kmph.the rabbit contneuos this to and fro form top hill towards car and agin back at top of hill unitil car reaches the top of thi hill.find the total distance covered by the rabbit.
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Answer:
the total distance covered by the rabbit. = 1680 km
Step-by-step explanation:
Distance between Car & Rabbit = 1170 km
A car is climbing u to hill at a speed of 90 kmph
Distance = 1170 km
Time taken by Car = 1170/90 = 13 hrs
so Rabbit moved up & hill for 13 hrs
Distance covered uphill & Downhill by Rabbit are equal
let say T hrs rabbit traveled down hill then 13-t hrs rabbit moved uphill
140 * t = 120 (13 - t)
=> 140t = 120 * 13 - 120t
=> 260 t = 120 * 13
=> 20t = 120
=> t = 6
6 hrs Down hill & 13-6 = 7 hrs uphill
Distance traveled = 140*6 + 120*7 = 840 + 840 = 1680 km
the total distance covered by the rabbit. = 1680 km
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