a car can finish a certain journey in 10 hours at a speed of 48km/hr. by how much does the speed of the car have to be increased by to cover the same distance in 8 hours?
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Answer:
a car finish a certain journey of 10 km in = 48 km/h.
1h =48 km/h
10 h = 48 * 10 = 480.
8 h = 480/8=60.
60-48=12 km/h.
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Given - Time and speed
Find - Increase in speed
Solution - The car has to increase the speed by 12 km/hr.
Using ratio and proportion to solve the given question. As the speed increases, the time will decrease. Thus, the two variables are inversely proportional.
Let the increased speed be x km/hr.
Expressing this given information in a mathematical form we get -
48:x = 8:10
Solving the ratio and proportion to find the value of x.
x = 48*10/8
x = 60 km/hr.
So, increase in speed = 60 - 48
Increase in speed = 12 km/hr.
Thus, the car has to increase the speed by 12 km/hr.
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