time and work Model Questions & Answers, Practice Test for ibps clerk prelims 2024

Answer: (a)

Speed of train = 54 km/h = 54 × $5/{18}$ km/h = 15 m/s

Let the length of train = $L_t$m

and the length of platform = $L_p$m

Now, 15 = ${L_t + L_p}/{36}$ ...(i)

and 15 = ${L_t}/{20}$

&thre4; $L_t$ = 300 m

∴ By (i), ${300 + L_p}/{36}$ = 15

⇒ $L_p$ = 240 m

Answer: (a)

In an hour, George and Sonia together can copy

$1/6+1/8=7/24$ of a 50-page manuscript.

i.e. In an hour they together can copy $7/48$ of the 100-page manuscript.

i.e. They together can copy a 100-page manuscript in

$48/7$ hours, i.e. 6$6/7$ hours.

Answer: (d)

Using the formula, $({AND}/{OR})x$ = given number of days, where x is the number of days we have to divide.

Thus,

$({AND}/{OR})x = 50⇒(2/4 + 3/6)$x = 50

⇒$(1/2 + 1/2)$x = 50 ⇒ x = 50

Answer: (b)

A's one day work = $1/{15}$

B's one day work = $1/{20}$

C's one day work = $1/{25}$

A, B and C worked together one day work

= $1/{15} + 1/{20} + 1/{25}$

= ${20 +15 + 12}/{300} = {47}/{300}$

time taken to complete work by A, B and C

working together = ${300}/{47}$

∴ Share of C = $1/{25} × {300}/{47}$ × 4700 = Rs.1200

Answer: (c)

1 man = 2 women = 3 boys

∴ 1 man + 1 woman + 1 boy

= 3 boys + $3/2$ boys + 1 boy

∴

$M_1D_1 = M_2D_2$

⇒3 × 55 = ${11}/2 × D_2$

$D_2 = {3 × 55 × 2}/{11}$ = 30 days