CAT 2021 Slot 3 · Quant · Question 3
CAT 2021 Slot 3 previous year question on Time Speed and Distance, with the answer and a step-by-step solution.
Answer & solution
Answer: 8
Measure both speeds in rounds per minute, say m for Mira and a for Amal.
Walking the same way, the gap grows at a-m rounds per minute, and in 45 minutes it reaches 3 rounds: 45\left( a-m \right)=3,
so a-m=\frac{1}{15}.
Walking opposite ways, they close one full round between meetings, at a+m per minute: 3\left( a+m \right)=1, so a+m=\frac{1}{3}.
Subtracting, 2m=\frac{1}{3}-\frac{1}{15}=\frac{5-1}{15}=\frac{4}{15}, so m=\frac{2}{15} rounds per minute.
In one hour Mira walks 60\times \frac{2}{15}=8 rounds.
More Time Speed and Distance questions
- Q4Two trains cross each other in 14 seconds when running in opposite directions along parallel tracks. The faster train…CAT 2021 Slot 1 · Quant · Time Speed and Distance
- Q5Two trains A and B were moving in opposite directions, their speeds being in the ratio 5 : 3. The front end of A…CAT 2021 Slot 2 · Quant · Time Speed and Distance
- Q10Shruti travels a distance of 224 km in four parts for a total travel time of 3 hours. Her speeds in these four parts…CAT 2025 Slot 1 · Quant · Time Speed and Distance
- Q19Rita and Sneha can row a boat at 5 km/h and 6 km/h in still water, respectively. In a river flowing with a constant…CAT 2025 Slot 2 · Quant · Time Speed and Distance
- Q6Rahul starts on his journey at 5 pm at a constant speed so that he reaches his destination at 11 pm the same day.…CAT 2025 Slot 3 · Quant · Time Speed and Distance
- Q16Ankita walks from A to C through B, and runs back through the same route at a speed that is 40% more than her walking…CAT 2025 Slot 3 · Quant · Time Speed and Distance
All Time Speed and Distance PYQs →
Take this paper as a timed test
Real exam timing, instant score, rank and topic-wise analysis.