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21.11.2019 •
Mathematics
Acar takes 4 hours to reach a destination travelling at the speed of 63 km/h. how long will it take to cover the same distance if the car travells at the speed of 56 km/h? do these quantities (time and speed) vary directly or inversely? find the constant of variation.
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Ответ:
Step-by-step explanation:
A car takes 4 hours to reach a destination travelling at the speed of 63 km/h.
Speed = distance / time
Distance = speed × time
Distance it took the car, travelling for 4 hours to a destination at a speed of 63 kilometers per hour would be
4 × 63 = 252 kilometers.
if the car travels at a different speed of 56 kilometers per hour and the distance remains 252 kilometers, the time it takes will be
Time = distance / speed
= 252/56 = 4.5 hours
The time varies inversely with the speed. The more the speed, the lesser the time and the lesser the speed, the more the time.
Let speed = s and let time = t
s varies inversely with t
Introducing constant of inverse variation k, it becomes
s = k/t
When s = 56, t = 4.5
56 = k/4.5
k = 4.5 × 56 =252
This is the distance
Ответ:
idk
Step-by-step explanation: