June 23, 2019
Question 1
2 mins
1.5 mins
1⅕ mins
2.5 mins
None of these
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⇒ Raman\'s speed = 20 km/hr = 20 × 5/18 = 50/9 m/sec ⇒ 400 × 9/50 = 1⅕ mins
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Question 2
15 km
22 km
20 km
25 km
⇒ Average speed of John = 2xy/x+y = 2 × 25 × 4 / 25 + 4= 200/29 km/h ⇒ Distance traveled = Speed × Time = 200/29 × 29/5 = 40 Km ⇒ Distance between city and town = 40/2 = 20 km
Question 3
150 m
250 m
200 m
300 m
⇒ Length of train = 20 × 10 = 200 meters
Question 4
40 mins
45 mins
50 mins
60 mins
⇒ If Ram is walking at ⅚ of his usual speed that means he is taking 6/5 of using time. ⇒ 6/5 of usual time - usual time = 10 mins ⇒ 1/5 of usual time = 10 mins ⇒ Usual time = 50 mins
Question 5
72 mins
78 mins
76 mins
⇒Reduced speed = 65-15 = 50 km/h ⇒ Now car will take 65/50 × 60 mins = 78 mins
Question 6
1 m/s
1.33 m/s
1.25 m/s
1.5 m/s
⇒Time taken by A to cover 100 meters = 60 seconds ⇒ Since A gives a start of 4 seconds then time takes by B = 72 seconds ⇒ B takes 72 seconds to cover 96 meters ⇒ Speed of B = 96/72 = 1.33 m/s
Question 7
200 meters
180 meters
190 meters
210 meters
⇒ While A covers 1000 meters, B can cover 900 meters ⇒ While B covers 1000 meters, C can cover 900 meters ⇒ Lets assume that all three of them are running same race. So when B runs 900 meters, C can run 900 × 9/10 =810 ⇒ So A can beat C by 190 meters.
Question 8
310 meter
335 meter
345 meter
350 meter
Speed = Distance/time = 300/18 = 50/3 m/sec Let the length of the platform be x meters then Distance=Speed∗Timex+300=503∗39=>3(x+300)=1950=>x=350 meters
Question 9
25 Seconds
28 Seconds
30 Seconds
35 Seconds
Relative Speed = 63-3 = 60 Km/hr = 60 *(5/18) = 50/3 m/sec Time taken to pass the man will ne 500∗350=30 seconds
Question 10
9
10
12
20
Due to stoppages, it covers 9km less per hour. Time is taken to cover 9 km = (9/54×60)min = 10 min So, the bus stops for 10 min. per hr.
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