Time and Distance

1. Sumi walks to her office at the rate of 4 miles per hour. If she increases her walking speed by one mile per hour, she would reach her office half an hour earlier than the previous time. What is the distance in miles of her office from her house?

• ক. 10
• খ. 12
• গ. 16
• ঘ. 20

2. A truck driver must be complete a 180-mile trip in 4 hours. If his average speed is 50 miles per hour for first 3 hours, then how fast must he travle for the final hour?

• ক. 25
• খ. 35
• গ. 40
• ঘ. 30

3. A wheel makes 1000 revolutions in covering a distance of 88 km. The diameter of the wheel is---

• ক. 28m
• খ. 40m
• গ. 14m
• ঘ. 10m

4. A 240-meter long train crosses a pole in a platfrom in 8 seconds. Determine the speed of the train in km/hr.

• ক. 120
• খ. 140
• গ. 6
• ঘ. 3

5. Roman covers 17 kilometer in 5 hours. How much time does he need to cover 10.2 kilometer?

• ক. 2.5 hrs
• খ. 3.4 hrs
• গ. 3.5 hrs
• ঘ. 3 hrs

6. At the same time that a 60-feet tall building casts a shadow that 21.5 feet long, a nearby tree casts a shadow that is 18 feet long. Which measure is closet to the height of the tree?

• ক. 56.5 ft
• খ. 50.2 ft
• গ. 6.5 ft
• ঘ. 3.3 ft

7. Starting from point A, Kasshem walked 300 meters towards North to B and then walksd another 400 meters towards East to C. What is the shortest distance between C and A?

• ক. 700
• খ. 100
• গ. 500
• ঘ. cannot be calculated

8. A train went 300 miles from city X to city Y at an average speed of 100 mph. At what speed did it travel on the way back if its average speed for the whole trip was 120 mph?

• ক. 120 mph
• খ. 125 mph
• গ. 150 mph
• ঘ. 130 mph

9. A train went 300 miles from city X to city Y at an average speed of 80 mph. At what speed did it travel on the way back if its average speed for the whole trip was 100 mph?

• ক. 120 mph
• খ. 125 mph
• গ. 133.33 mph
• ঘ. 137.5 mph

10. A train passes city X at 9.55 am and city Y at 10.15 am. The distance between city X and Y is 45 miles. What is the average speed in miles per hour of the train?

• ক. 135
• খ. 120
• গ. 270
• ঘ. None of these

11. If two planes leave the same airport at 1:00 pm, how many miles apart will they be at 3:00 pm if one travels directly north at 150 mph and the other travels directly west at 200 mph?

• ক. 50 miles
• খ. 100 miles
• গ. 500 miles
• ঘ. 700 miles

12. A car passes Dhaka at 9:55 am and Gazipur at 10:15 am. Gazipur is 30 miles from Dhaka. What is the average speed of the car in miles per hour?

• ক. 10
• খ. 30
• গ. 90
• ঘ. 120

13. If a plane can travel P miles in Q hours, how long will it take to travel R miles?

• ক. PQ/R hours
• খ. P/QR hours
• গ. PR/Q hours
• ঘ. QR/P hours

14. A man travels 4 miles north, 12 miles east and then 12 miles north. How far (to the nearest mile) is he from the starting point?

• ক. 17
• খ. 20
• গ. 21
• ঘ. 24

15. A train travels at an average speed of 50 miles per hour for 2.5 hour and then travels at an average speed of 70 miles per hour for 1.5 hours. How far did the train travel in the entire 4 hour?

• ক. 200 miles
• খ. 230 miles
• গ. 150 miles
• ঘ. 300 miles

16. A man is running at a speed of 8 km per hour for a distance of 5200 meters. How many minutes would it take him to cover the distance?

• ক. 39
• খ. 40
• গ. 29
• ঘ. 45

17. On a trip of 200 miles, a man travels at the rate of 40 niles per hour for the first 100 miles. For the rest of the trip, he travels at the rate of 55 miles per hour. What is his average speed in miles per hour for the total trip?

• ক. 400/9
• খ. 200/9
• গ. 90
• ঘ. 50

18. A salseman travels a distance of 70 miles in 2.5 hours. How much faster in miles per hour; must he travels to make the same trip in 0.75 hours less time?

• ক. 12
• খ. 24
• গ. 28
• ঘ. 37

19. A man run x miles in m minutes. What is his rate of run in miles per hour?

• ক. 60x/m
• খ. 60/x
• গ. mx/60
• ঘ. x/60m

20. A car travels at the rate of 50 miles per hour. How many minutes will it take to travel 2/5 miles at this speed?

• ক. 0.48
• খ. 2.4
• গ. 4.8
• ঘ. 2.2

21. How long would it take a man cycling at 30 miles per hour to cover a distance of 44 feet?

• ক. 1 sec
• খ. 1 min
• গ. 5.2 sec
• ঘ. 2.4 sec

22. A boat sails m miles upstream at the rate of r miles per hour. If the rate of the stream is s miles per hour, how long will it take the boat to return to its starting point?

• ক. m/(r + 2s)
• খ. m/(r + s)
• গ. (m + r)/s
• ঘ. mr - s

23. A man travels 100 miles at 20 miles per, 60 miles at 30 miles per hour and and 80 miles at 10 miles per hour, what is his average rate for the three trips?

• ক. 18 miles per hour
• খ. 17 miles per hour
• গ. 20 miles per hour
• ঘ. 16 miles per hour

24. A plane traveling at 600 miles per hour is heading for chittagong airport. At 3:58 pm it is 30 miles from the airport. At what time will arrive at the airport?

• ক. 4:01 pm
• খ. 4:02 pm
• গ. 4:03 pm
• ঘ. 3:59 pm

25. Ali starts from his home at 5 am and travels towards Chittagong at 30 km/hr. Belal starts from the same home at 7 am and travels along the same route towards Chittagong, overtaking Ali at exactly 11 am. At what speed in km/hr was Belal traveling?

• ক. 45
• খ. 48
• গ. 50
• ঘ. 35