CAT 2024 Slot 2 QA Question 3: A bus starts at 9 am and follows a fixed route every day. One day, it travelled at a constant speed of 60 km per hour and reached its destination 3.5 hours later than its scheduled arrival time. Next

Question

A bus starts at 9 am and follows a fixed route every day. One day, it travelled at a constant speed of 60 km per hour and reached its destination 3.5 hours later than its scheduled arrival time. Next

Accepted Answer

Let the scheduled travel time be $t$ hours and the total distance be $D$ km.
On the first day, the bus travelled for $t + 3.5$ hours at $60$ km/hr.
$D = 60(t+3.5)$
On the second day, the last one-third of the distance was covered in two-thirds of the scheduled time, at $40$ km/hr.
$\dfrac{D/3}{2t/3}