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Amrita takes 18 h to travel 720 km. Find the time taken by her to travel 360 km, if speed of Amrita is constant.

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9 h

10 h

8 h

11 h

answer is A.

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Detailed Solution

Given that Amrita takes 18 h to travel 720 km.
We need to find the time taken by her to travel 360 km, if speed of Amrita remains constant.
Assume that time taken by Amrita to travel 360 km is

T

h.
Understanding that for a given speed distance covered is in direct proportion with time and hence the ratio of distance and time is constant.

\frac{distance}{time} = constant

Equate the ratio of 720 km and 18 hrs with ratio of 360 km and

T

h and solve for

T

\frac{720}{18} = \frac{360}{T}

T = \frac{18 \times 360}{720}

T = \frac{18}{2}

T = 9

The time taken by Amrita to travel 360 km is 9 h.
Hence, the correct option is 1.

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