A can complete a piece of work in 12 days working at his full efficiency. On the first day he works at full efficiency, on the second day at half of his efficiency, on the third day at one-fourth his efficiency. Q1 In how many days would the work get completed if A works in the same fashion working at full, half and quarter efficiency respectively on the 1st, 2nd and 3rd days in every period of 3 days? Q2. A worked for the first three days as described above, and from the fourth day he worked at full efficiency. B joined him on the fourth day and together they completed the job in 11 days from the beginning. If they earned Rs. 7,200 what is the B’s share? Q3. Nitin and Sachin start running clockwise from the same spot on a circular track at the same time. Nitin’s speed is 2/3rd of Sachin’s speed. Sachin reaches the starting point, and then starts running anticlockwise. Exactly 24 minutes later, he meets Nitin. How much time did Sachin take to reach the starting point? Q4. 6 taps working together take 12 minutes to fill a tank. Find the time taken by 24 taps working together to fill a tank twice as big(in minutes)? Q5.Two trains X and Y start from stations A to B and B to A respectively. After passing each other they take 12 hrs and 3 hrs to reach B and A respectively. If train X is moving at the speed of 48 km/hr, the speed of train Y is Q6. A man covers a certain distance on bicycle. Had he moved 3km/h faster he would have taken 40 minutes less. If he had moved 2km/h slower he would have taken 40 minutes more. Find the distance? Q7. Two runners A and B started from point X and ran in the same direction towards a point Y, 5 km from X. B started 6 minutes after A and overtook A at a point 2 km from X. B reaches Y and at once began to run towards X and met A at a point 4 km from X. The speed of B was Q8. A bus ‘A’ left a town ‘M’ for another town ‘N’ at 5.00am . AT 6.30 am another bus ‘B’ left ‘M’ for ‘N’ and the speed of this bus is 5km/hr greater than that of ‘A’. At 9.30 pm on the same day, the buses were 21 km apart. Find the speed of ‘A’ ? |
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Q4. 6 taps working together take 12 minutes to fill a tank. Find the time taken by 24 taps working together to fill a tank twice as big(in minutes)?
a. 6
b. 8
c. 12
d. 24
ans:
Time taken by 24 taps working together to fill ip the tank = 1/4 of the time taken by 6 taps
To fill twice as big , 24 taps ‘ll take 2/4 of the time taken by 6 taps = 6 mins
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Q1. b
Q2. d
Q3. b
Let X and Y meet each other after time T.
Then the distance covered by X and Y, when they meet each others is 48T and TVy, respectively.
After that Y takes 3 and X takes 12 hours to reach A and B respectively.
48T = 3Vy
And VyT = 48 * 12
=> 48/Vy = 3Vy/(48 * 12)
=> Vy = 96 (no answer)
But if we interchange the timings : Y takes 12 and X takes 3 hours to reach A and B respectively.
Then
48T = 12Vy
And VyT = 48 * 3
=> 48/Vy = 12Vy /(48 * 3)
=> Vy = 24 (ans d)
Either the options or the question needs some modification.
Thanks Yaar for the explanation !!!
Q1. b
Q2. d
Q3. b
Q4. d
Q5. d
Q6. d
Q7. d 60 km/hr
Q8 d 64
Q8 ans is d
and the possible values are 64 and 36. .
@cutie_suchi2003:
plz give the solution don't just give the answer.
n/a
Q6. A man covers a certain distance on bicycle. Had he moved 3km/h faster he would have taken 40 minutes less. If he had moved 2km/h slower he would have taken 40 minutes more. Find the distance?
a. 30 km
b. 45 km
c. 20 km
d. None of these
Answer is 40 km .
So,(d) none of these
n/a
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