B starts 4.5 minutes after A from the same point, for a place at a distance of 3.5 miles from the starting point. A on reaching the destination turns back and walk a mile where he meets B. If A’s speed is a mile in 6 minutes then B’s speed is a mile in _minutes?Options₹ 9₹ 10₹ 8₹ 12
Question
B starts 4.5 minutes after A from the same point, for a place at a distance of 3.5 miles from the starting point. A on reaching the destination turns back and walk a mile where he meets B. If A’s speed is a mile in 6 minutes then B’s speed is a mile in _minutes?Options₹ 9₹ 10₹ 8₹ 12
Solution
To solve this problem, we need to first determine how long it took for A to reach the destination and then walk a mile back.
-
A's speed is 1 mile in 6 minutes. So, to cover a distance of 3.5 miles, A would take 3.5 miles * 6 minutes/mile = 21 minutes.
-
A then walks a mile back, which would take an additional 6 minutes. So, in total, A has been walking for 21 minutes + 6 minutes = 27 minutes.
-
However, B started 4.5 minutes after A. So, by the time A and B meet, B has been walking for 27 minutes - 4.5 minutes = 22.5 minutes.
-
In this time, B has covered a distance of 2.5 miles (3.5 miles - 1 mile that A walked back).
-
Therefore, B's speed is 2.5 miles / 22.5 minutes = 0.111 miles/minute.
-
To find out how long it takes for B to walk a mile, we take the reciprocal of this: 1 / 0.111 = 9 minutes.
So, B's speed is a mile in 9 minutes. The correct option is ₹ 9.
Similar Questions
Aptitude:speed and distance [Section 1 of 1] Q26 of 30 Marks 1 General Instructions 100% ×CloseTest time left: 04:46Select the correct answerB starts 4.5 minutes after A from the same point, for a place at a distance of 3.5 miles from the starting point. A on reaching the destination turns back and walk a mile where he meets B. If A’s speed is a mile in 6 minutes then B’s speed is a mile in _minutes?
The distance between places A and B is 999 km. An express train leaves place A at 6 am and runs at a speed of 55.5 km/hr. The train stops on the way for 1 hours 20 minutes. It reaches B at?
Select the correct answerA start walking at 4 km/h and after 4 hours, B starts cycling from the same point as that of A, in the same direction at 10 km/h. After how much distance from the starting point will B catch up with A?Options24.67 km25.67 km23.67 km26.67 km
Martin and Charlie walks around a circular park every day. The park has a walkway 2.2 miles long. They both start walking at the same time but they walk in different directions. If Martin walks at a rate of 5 miles per hour and Charlie walks at a rate of 6 miles per hour, then how long will it take to meet them?
In covering a distance, the speeds of A & B are in the ratio of 5 : 4. A takes 30 minutes less than B to reach the destination. Find the time taken by A to reach the destination.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.