Q2. A and B working together could mow a field in 28 days and with the help of C they could have mowed it in 21 days. How long would C take by himself?
(a) 86 days
(b) 48 days
(c) 84 days
(d) 80 days
(e) None of these
Q3. If 12 men and 16 boys can do a piece of work in 5 days and 13 men and 24 boys can do it in 4 days, compare the daily work done by a man with that done by a boys.
(a) 1 : 2
(b) 2 : 1
(c) 1 : 3
(d) 3 : 1
(e) None of these
Q4. A builder decided to build a farmhouse in 20 days. He employed 40 men in the beginning and 20 more after 10 days and completed the construction in stipulated time. If he had not employed the additional men, in how many days would it have been finished by the men in the beginning?
(a) 50 days
(b) 60 days
(c) 40 days
(d) 25 days
(e) None of these
Q5. A started a work and left after working for 4 days. Then B was called and he finished the work in 18 days. Had A left the work after working for 6 days, B would have finished the remaining work in 12 days. In how many days can each of them, working alone, finish the whole work?
(a) 5 days, 20 days
(b) 10 days, 30 days
(c) 15 days, 30 days
(d) 5days, 30 days
(e) None of these
Q6. Two pipes A and B can fill a tank in 12 minutes and 16 minutes respectively. If both the pipes are opened simultaneously, after how much time should B be closed so that the tank is full in 9 minutes?
(a) 8 min
(b) 6 min
(c) 4 min
(d) 10 min
(e) None of these
Q7. Two men A and B walk from P to Q, a distance of 22 km, at 5 and 6 km an hour respectively. B reaches Q, returns immediately and meets A at R. Find the distance from P to R.
(a) 16 km
(b) 18 km
(c) 20 km
(d) 15 km
(e) None of these
Q8. A car starts from P for Q travelling 20 kilometer an hour. 1 1/2 hours later another car starts from P and travelling at the rate of 30 kilometer an hour reaches Q 2 1/2hrs before the first car. Find the distance from P to Q.
(a) 90 km
(b) 150 km
(c) 240 km
(d) 270 km
(e) None of these
Q9. A train does a journey without stopping in 9 hours. If it had travelled 8 km an hour faster, it would have done the journey in 6 hours. What is its original speed?
(a) 27 km/hr
(b) 16 km/hr
(c) 24 km/hr
(d) 18 km/hr
(e) None of these
Q10. Suresh started cycling along the boundaries of a square field from corner point A. After half an hour, he reached the corner point C, diagonally opposite to A. If his speed was 8 km per hour, the area of the field in square km is
(a) 64
(b) 8
(c) 4
(d) Can’t be determined
(e) None of these
Q11. Two trains of the same length but with different speeds pass a static pole in 4 seconds and 8 seconds respectively. In what time will they cross each other when they are moving in the opposite direction.
(a)16/3 sec
(b) 5 sec
(c) 6 sec
(d) 14/3 sec
(e) None of these
Q12. A goods train and a passenger train are running on parallel tracks in the same direction. The driver of the goods train observes that the passenger train coming from behind overtakes and crosses his train completely in 15 seconds. Whereas a passenger on the passenger train marks that he crosses the goods train in 12 seconds. If the speeds of the trains be in the ratio of 1 : 2, find the ratio of their lengths.
(a) 4 : 1
(b) 3 : 1
(c) 1 : 4
(d) 2 : 3
(e) None of these
Q13. The speeds of two trains are in the ratio 5 : 9. They are going in opposite directions along parallel tracks. If each takes 5 seconds to cross a telegraph post, find the time taken by the trains to cross each other completely?
(a) 3 sec
(b) 5 sec
(c) 6 sec
(d) 9 sec
(e) None of these
Q14. A person can row 7 1/2 km an hour in still water and he finds that it takes him twice as long to row up as to row down the river. Find the rate of the stream.
(a) 2.5 km/hr
(b) 2 km/hr
(c) 3 km/hr
(d) 1.5 km/hr
(e) None of these
Q15. A man rows to a place 48 km distant and back in 14 hours. He finds that he can row 4 km with the stream in the same time as 3 km against the stream. Find the rate of the stream?
(a) 1 km/hr
(b) 2 km/hr
(c) 1.5 km/hr
(d) 2.5 km/hr
(e) None of these
