CMAT Exam 2023 Shift 1 Solved Paper

Question : 18 of 100

Marks: +1, -0

Anil travelled 300 km by bus and 200 km by taxi. For this, it took him 5 hours and 30 minutes. However if he travels 260 km by bus and 240 km by taxi then he takes 6 minutes more. The speed of the bus is ________ km/hour.

Validate

Solution:

Let the speed of bus be

{\bm} {/} {\hr}

and the speed of taxi be

t {\km} {/} {\hr}

.
It is given,

\;\;{300}/{b}+\;{200}/{t}=\;{11}/{2}

. . . . . . .(1)

\;\;{260}/{b}+\;{240}/{t}=\;{56}/{10}

. . . . . . . (2)

\;(1)^{⋆} 6⇒\;{1800}/{b}+\;{1200}/{t}=\;{66}/{2}

. . . . . . . (3)

\;(2)^{⋆} 5⇒\;{1300}/{b}+\;{1200}/{t}=\;{56}/{2}

. . . . . . .(4)
(3) - (4), we get

\;\;{500}/{b}=5

\;b=100

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