The velocity of a bus is 72km/hour and that of a car is 40m/sec, then a) Car moves faster than bus b) Car moves slower c) Both moves with same velocity d) Can't say
Answers
GIVEN:
A Bus moving with 72Kmph and a Car moving with 40m/s.
To Find:
Which is moving Faster of the both Bus or the Car.
Procedure:
1) The bus is moving with a speed of 72kmph where as the car is moving with a speed of 40m/s. Since both the units are of different physical quantities we have to convert the units of one of them.
2) Converting the speed of bus from kmph to m/s:
The speed of bus is 72kmph , From the relation 1kmph =(5/18)m/s, we can covert 72kmph into m/s.
3) 72kmph= 72 * (5/18) m/s
On mathematical calculation , we get:
=> 72kmph = 20m/s.
4) Therefore The speed of the bus is 20m/s whereas the speed of the car is 40m/s .
5) Since both are of similar units we can compare now, Therefore the car moves faster than the bus (OPTION A)
Explanation:
Given: The velocity of a bus is 72km/hour and that of a car is 40m/sec,
To find: Which option is correct.
a) Car moves faster than bus
b) Car moves slower
c) Both moves with same velocity
d) Can't say
Solution:
Tip: Velocity of bus and car should be in same unit to compare.
Step 1: Convert velocity of bus in m/sec
We know that
and
So,
cancel out common factors of numerator and denominator.
or
Therefore,
And velocity of car is 40 m/sec.
It is clear that 40 m/sec>20 m/sec.
i.e.
Velocity of car > Velocity of bus
Option A is correct.
Final answer:
Car moves faster than bus.
Option a is correct.
Hope it helps you.
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