Page 109 - ICSE Math 8

3. Fill in the blanks.
(a) Time is ____________ proportional to work.
−1
(b) If an outlet empties a full tank in __________ hours, then work done by it in 1 hour is .
n
(c) If Neha knits 35 scarves in 25 days, she will take __________ days to knit 55 scarves.

1
(d) If Murshid can do a piece of work in 20 days, he can do of the work in _________ days.
5

PRACTICE TIME

1. A hotel paid a total of ` 5,81,760 as salaries to 24 workers in the month of March. 9 new workers joined
the hotel in April. What will be the salary bill of the hotel for April?
2. Telephone poles are fixed at an equal distance from each other. If 12 such poles are fixed over a distance
of 75 km, how many poles are required for a distance of 25 km?
3. In an army camp there is sufficient food for 120 cadets for 24 days. If 48 cadets leave the camp, how
long would the food last? x ... 4 7 ... 12
4. If x and y are in direct variation with each other, fill in the
missing entries. y 10 20 ... 45 ...

5. The distance between two cities on a map is 8.4 cm. The map uses 3 cm to represent 16 km. What is the
actual distance between the two cities?

6. There is enough food for 600 soldiers in a fort had enough food for 30 days. After 6 days, some
soldiers were sent to another fort and thus the food lasted for 40 more days. How many soldiers left the
fort?
7. 9 men working 6 hours a day earn ` 94,500 per week. What will be the earning per week of 6 men working
8 hours a day?
8. If 8 persons can weave 160 shawls in 5 days, how many shawls will be woven by 3 persons in 14 days?

9. Rinku can knit a sweater alone in 6 hours and Seema can knit a sweater alone in 8 hours. How much time
would they take working together to knit (a) 1 sweater, (b) 14 sweaters.

1 1
10. Manoj can weave of a saree in 5 days and Karan can weave of the same saree in 6 days. If they
3 4
work together, in how many days will the work be completed? Also find who is more efficient?
11. Three workers can finish a construction work in 12, 18, 24 days respectively. How long will they take to
finish the construction work, if they all work together?
12. In a toy factory, 10 men can prepare 20 toys in 3 days working 12 hours a day. In how many days will
24 men prepare 32 toys working 4 hours a day?
13. Ram can do a piece of work in 4 hours, Shyam and Laxman can do it in 3 hours, Ram and Laxman can
do it in 2 hours. How long would Shyam alone take to do it?
14. A and B can do a piece of work in 12 days; B and C can do the work in 15 days while C and A can do it
in 20 days.
(a) How long will they take, working together, to complete the work?
(b) How long will each of them take, working individually, to complete the work?

15. Two taps A and B fill an overhead water tank in 12 hours and 8 hours respectively. If both of them are
opened together, how long would they take to fill the tank completely?

97