Arithmetic

Time, Speed & Distance

Medium

Alice is faster than Bob, Alice and Bom each walk 30 km. The sum of their speeds is 8 km/hr and sum of time taken by them is 16 hours. Then Alice's speed is equal to

✅ Correct Option: 1

Let Alice's speed = a, Bob's = 8 - a. Total time: 30/a + 30/(8-a) = 16. This gives a(8-a) = 15, so a squared - 8a + 15 = 0, giving a = 5 or 3. Since Alice is faster, a = 5 km/h.

2025: 30 May Shift 2

Two trains of equal length are running from the same origin on parallel tracks in the same direction, at the speeds of 58 km/hr and 73 km/hr, respectively. The faster train passes the other train in 144 seconds. What is the length (in meters) of each train?

2022: 23 Aug Shift 1

A train running at a speed of 54 km/hr crosses a platform which is double of the length of the train in 18 seconds. What is the length of the platform and train?

2023: 11 June Shift 2

Find the distance covered by a man who walked for 15 minutes at a speed of 3 km/h.

2026: 19 May Shift 2

The speed of a boat in still water is 12 km/hr. If it can travel 48 km downstream and 24 km upstream in the same time, the speed of the stream is,

2026: 14 May Shift 2

Walking at a speed of 5 km per hour, a man covers a certain distance in 3 hours. If he covers the same distance once by car at a speed of 30 km per hour and once by cycle at a speed of 15 km per hour, what will be the time taken by him?

2022: 6 Oct Shift 1

If 180 meter long train crosses a pole in 9 seconds, find the speed of train in kilo meter/hour.

Alice is faster than Bob, Alice and Bom each walk 30 km. The sum of their speeds is 8 km/hr and sum of time taken by them is 16 hours. Then Alice's speed is equal to

Solution

Related questions:

Keyboard Shortcuts

CUET General Test Past Year Questions (Topic-Wise)