A bus travels 2/5 of a total journey at its usual speed. The remaining distance

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Question
A bus travels 2/5 of a total journey at its usual speed. The remaining distance was covered by bus at 6/7 of its usual speed. Due to slow speed it reaches its destination 50 minutes late. If the total distance is 200 kms, then what is the usual speed (in km/hr) of bus?
Options
A. 20.57
B. 24
C. 28
D. 26.52

Correct Answer

24

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2. A train leaves Delhi at 10 a.m. and reaches Jaipur at 4 p.m. on same day. Another train leaves Jaipur at 12 p.m. and reaches Delhi at 5 p.m. on same day. What is the time of day (approximately) when the two trains will meet?
Options
A. 1:42 p.m.
B. 1:27 p.m.
C. 2:04 p.m.
D. 1:49 p.m.

3. Aman and Kapil starts from Delhi and Gwalior respectively towards each other at same time. They meet at Mathura and then take 196 minutes and 225 minutes respectively to reach Gwalior and Delhi. If speed of Aman is 30 km/hr, then what is the speed (in km/hr) of Kapil?
Options
A. 28
B. 30
C. 225/7
D. 392/15

4. A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot at a speed of 4 km/hour and partly on bicycle at a speed of 9 km/hour . The distance travelled on foot is
Options
A. 14 km
B. 16 km
C. 20 km
D. 18 km

5. Walking at a speed of 10 km/hr, Madhu reaches her university 15 minutes late. Next time she increases her speed by 2 km/hr, but she is still late by 5 minutes. The distance of the university from her house is:
Options
A. 15 km
B. 30 km
C. 20 km
D. 10 km

6. A person goes from point N to P and comes back. His average speed for the whole journey is 60 km/hr. If his speed while going from N to P is 40 km/hr, then what will be the speed of the person (in km/hr) while coming back from P to N?
Options
A. 80
B. 100
C. 120
D. 140

7. A starts from a point at a speed of 30 metre/second. After 3 seconds, B starts chasing A from the same point with a speed of 50 metre/second. What will be the total distance (in metres) travelled by A and B before A is caught by B?
Options
A. 360
B. 450
C. 600
D. 720

8. After repairing a scooter runs at a speed of 54 km/h and before repairing runs at speed of 48 km/h. It covers a certain distance in 6 hours after repairing. How much time will it take to cover the same distance before repairing?
Options
A. 6 hours 15 minutes
B. 6 hours 45 minutes
C. 7 hours
D. 7 hours 30 minutes

9. A runner starts running from a point at 6:00 am with a speed of 8 km/hr. Another racer starts from the same point at 8:30 am in the same direction with speed of 10 km/hr. At what time of the day (in p.m.) will the second racer will overtake the other runner?
Options
A. 8:00
B. 4:00
C. 6:30
D. 5:30

10. A man makes four trips of equal distances. His speed on first trip was 60 km/hr and in each subsequent trip his speed was half of the previous trip. What is the average speed (in km/hr) of the man in these four trips?
Options
A. 16
B. 30
C. 28.125
D. 27.5

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