The reduction in speed of an automobile varies directly with the square root of number of wagons attached
to it. When no wagon is attached, the speed of the automobile is 100km/hr.When 25 wagons are attached
speed of the automobile is 50km/hr. Maximum how many wagons should be attached to the automobile if
it can just move?
h
Select one:
O
a. 100
O b. 99
O c. 97
O d. 95
Answers
Given : An automobile can move at the speed of 100 km/hr with- out any wagon attached and reduction in the speed of the automobile directly proportional to the square root of the number of wagons attached to the engine When there are 25 wagons attached its speed is 50 km/hr
To Find : The greatest number of wagons with which the engine can move
Solution:
automobile without any wagons attached to it can run 100 km/hr
Speed of automobile = 100 - k√n
k is a constant
n - number of wagons attched
for n =25 speed = 50 km/hr
=> 50=100 - k√25
=> 50 = 5k
=> k = 10
=> speed = 100 - 10√n
The greatest number of wagons with which the engine can move is
=> speed > 0
=> 100 - 10√n > 0
=> 10√n < 100
=> √n > 10
=> n < 100
99 number of Wagons
greatest number of wagons with which the automobile can move is 99
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