Question

19. In covering a distance of 30km, Abhay takes 2 hours more than Sameer. If Abhay doubles
his speed, then he would take 1 hour less than Sameer. Abhay's speed is:
A. 5 kmph
B. 6 kmph
C. 6.25 kmph D. 7.5 kmph
20. Robert is travelling on his cycle and has calculated to reach point A at 2 p.m. if he travels at
10kmph, he will reach there at 12 noon if he travels at 15 kmph. At what speed must he
travel to reach A at 1 P.M.?
A. 8 kmph B. 11 kmph C. 12 kmph D. 14 kmph
21
A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot @ 4 km/hr
and partly on bicycle @ 9 km/hr. The distance travelled on foot is:
A.
14 km
B. 15 km
C. 16 km
D. 17 km
22 4 men and 6 women can compete a work in 8 days, while 3 men and 7 women can
complete it in 10 days. In how many days will 10 women complete it?
A. 35
B. 40
C. 45
D. 50
23
A and B can together finish a work in 30 days. They worked together for 20 days and then B
left. After another 20 days, A finished the remaining work. In how many days A alone can
finish the work?
C. 54
D. 60
A.
40
B. 50
24
Ayesha's father was 38 years of age when she was born while her mother was 36 years old
when her brother four years younger to her was born. What is the difference between the
ages of her parents?
C. 6 years
B. 4 years
D. 8 years
A.
2 years
25
A person's present age is two - fifth of the age of his mother. After 8 years, he will be one-
half of the age of his mother. How old is the mother at present?
B. 36 years
D. 48 years
C. 32 years
A.
40 years​

Answer 1

Answer:

He would have reached in a half an hour

Step-by-step explanation:

I don't know how to explain

Answer 2

Answer:

Answer

19. Let Abhay's speed be x km/hr.

Then,

x

30

−

2x

30

=3

⇒6x=30⇒x=5km/hr.

20. Let the distance travelled by x km.

Then,

10

x

−

15

x

=2

⇒3x−2x=60

⇒x=60km.

Time taken to travel 60 km at 10 km/hr = (

10

60

)hrs = 6 hrs.

So, Robert started 6 hours before 2 P.M. i.e., at 8 A.M.

∴ Required speed =(

5

60

)kmph. = 12 kmph.

21. Let the distance travelled on foot be x km.

Then, distance travelled on bicycle = (61 -x) km.

So,

4

x

+

9

(61−x)

=9

⇒ 9x + 4(61 -x) = 9 × 36

⇒ 5x = 80

→x = 16 km.

22. 40 days

Thus, 10 womens will complete the work in 40 days

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