Time and Distance Question Practice Question and Answer
8 Q: Shyam covers a distance of 400 km in 5 hours. He traveled for some time at a speed of 85 km / h and the rest at a speed of 55 km / h. How long did he travel at high speed?
1591 05f87f32a58d85e164c540d18
5f87f32a58d85e164c540d18- 14 hour 15 minutefalse
- 24 hour 35 minutefalse
- 34 hour 25 minutefalse
- 44 hour 20 minutetrue
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Answer : 4. "4 hour 20 minute"
Q: I walk a certain distance and ride back taking a total time of 37 minutes. I could walk both ways in 55 minutes. How long would it take me to ride both ways?
1589 05ee21676e9ea010382e59977
5ee21676e9ea010382e59977- 117 minutefalse
- 219 minutetrue
- 319.5 minutefalse
- 429 minutefalse
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Answer : 2. "19 minute"
Q: The distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travels towards Bat 60 km / hr. Another train starts from Bat 9 a.m. and travels towards A at 75 km/hr. At what time do they meet?
1577 05dc2985b96420169a021fda4
5dc2985b96420169a021fda4- 110 : 00 amfalse
- 210 : 30 amfalse
- 311 : 00 amtrue
- 411 : 30 amfalse
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Answer : 3. "11 : 00 am "
Q: A runner starts running from a point at 6:00 am with a speed of 8km / hr. Another racer starts from the same point at 8:30 am in the same direction with a speed of 10km / hr. At what time of the day (in P.M.) will the second racer will overtake the other runner?
1558 05dd621517780ee35515abc24
5dd621517780ee35515abc24- 18 : 00false
- 24 : 00false
- 36 : 30true
- 45 : 30false
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Answer : 3. "6 : 30 "
Q: A 160-meter-long train running at a speed of 90 km/h crosses a platform is 18 s. What is the length of the platform in metre?
1556 05da05a5f31905d2853364fe8
5da05a5f31905d2853364fe8- 1210false
- 2240false
- 3290true
- 4310false
- 5None of thesefalse
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Answer : 3. "290"
Q: A policeman starts to chase a thief. When the thief goes 10 steps the policeman moves 8 steps and 5 steps of the policeman are equal to 7 steps of the thief. The ratio of the speeds of the policeman and the thief is:
1533 05f2e531abe9f31290fbcf1ed
5f2e531abe9f31290fbcf1ed- 128 : 25true
- 256 : 25false
- 325 : 28false
- 425 : 26false
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Answer : 1. "28 : 25 "
Q: Akhil takes 30 minutes extra to cover a distance of 150 km if he drives 10 km/h slower than his usual speed. How much time will he take to drive 90 km if he drives 15 km per hours slower than his usual speed?
1519 06489bddaa33e0f47b78d0eec
6489bddaa33e0f47b78d0eec- 12h 45mfalse
- 22h 30mfalse
- 32htrue
- 42h 15mfalse
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Answer : 3. "2h "
Explanation :
Let's use the information given to calculate Akhil's usual speed first.
We know that Akhil takes 30 minutes (0.5 hours) extra to cover a distance of 150 km when he drives 10 km/h slower than his usual speed.
Let "S" be Akhil's usual speed in km/h. So, his slower speed would be (S - 10) km/h.
The time taken to cover a distance is equal to the distance divided by the speed: Time = Distance / Speed
At his usual speed, it takes him: Time at usual speed = 150 km / S hours
At the slower speed, it takes him: Time at slower speed = 150 km / (S - 10) hours
The difference in time between these two scenarios is 0.5 hours (30 minutes): Time at slower speed - Time at usual speed = 0.5 hours
Now, we can set up the equation and solve for S:
(150 km / (S - 10)) - (150 km / S) = 0.5
To solve this equation, we'll first get a common denominator: [150S - 150(S - 10)] / [S(S - 10)] = 0.5
Now, simplify and solve for S: [150S - 150S + 1500] / [S(S - 10)] = 0.5
1500 / [S(S - 10)] = 0.5
Now, cross-multiply: 2 * 1500 = S(S - 10)
3000 = S^2 - 10S
S^2 - 10S - 3000 = 0
Now, we can solve this quadratic equation for S using the quadratic formula:
S = [-(-10) ± √((-10)^2 - 4(1)(-3000))] / (2(1))
S = [10 ± √(100 + 12000)] / 2
S = [10 ± √12100] / 2
S = [10 ± 110] / 2
Now, we have two possible values for S, but we'll take the positive one because speed cannot be negative:
S = (10 + 110) / 2 = 120/2 = 60 km/h
So, Akhil's usual speed is 60 km/h.
Now, we want to find out how much time he will take to drive 90 km when he drives 15 km/h slower than his usual speed, which would be (60 - 15) = 45 km/h.
Time = Distance / Speed Time = 90 km / 45 km/h = 2 hours
Akhil will take 2 hours to drive 90 km when he drives 15 km/h slower than his usual speed.
Q: A Train when moves at an average speed of 40 kmph, reaches its destination on time. When its average speed becomes 35 kmph, then it reaches its destination 15 minutes late. Find the length of journey. 1515 05d1ee748f5eae22172e6f3af
5d1ee748f5eae22172e6f3af- 130 kmfalse
- 240 kmfalse
- 370 kmtrue
- 480 kmfalse
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