- Option : B
- Explanation :

of work is completed.

Remaining work = 1-() =

Remaining period = 46 - 33 = 13 days

Less work, less men(direct proportion)

Less days, more men(Indirect proportion)

More hours/day, less men(Indirect proportion)

work :

Days 13:33 :: 117:x

hrs/day 9:8

× 13 × 9 × x = ()33 × 8 × 117

x = (3 × 33 × 8 × 117) / (4 × 13 × 9)

= 198 men

So, additional men to be employed

= 198 - 117 = 81

- Option : A
- Explanation :

Let L is length of train in km and x is speed of the cyclist, Then

(i) 400L = 42 - x

(ii) 720 L = 12 + x

On adding, we get

1120 L = 84

⇒ L = (84 x 1000)/1120 = 75m

- Option : D
- Explanation :

in each case, train has to travel its own length, to pass each man.

If x km/hr is speed of the train, then

Length = Relative speed x Time

∴ 9x - 18 = 10x - 40

⇒ x = 22km/hr.

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