Explanation

Mrs. Kamaran wishes to renovate her cottage. She hires the service of a plumber and a carpenter. a painter an electrician, and an interior decorator. The renovation is to be completed in a period of one working week i.e. Monday to Friday. Every worker will be taking one complete day to do his job. Mrs.Kamran will allow just one person to work per day.

1. The painter can do his work only after the plumber and the carpenter have completed their jobs.
2. The Interior decorator has to complete his job before that of the electrician.
3. The carpenter cannot work on Monday or Tuesday

Question: 

In Case the painter works on Thursday, which among the following alternatives is possible

A. The election works on Tuesday

B. the election works on Friday

C. the interior decorator does his work after the pinter

D. plumber and the painter work on consecutive days

E. Mrs. Kamran Cannat Fit All of the Workers into the Schedule

Explanation

Given:

• Length of each train = 150 m

• Total length to cross = 150 m + 150 m = 300 m

• Time taken to cross = 15 seconds

• Trains are moving in opposite directions at the same speed

 Step 1: Use the formula

Relative speed= Total distance/Time ​= 300 / 15​ = 20 m/s

Since both trains have the same speed and are moving in opposite directions:

Relative speed=v+v=2v=20 m/s⇒v=20​/2=10 m/s

Step 2: Convert to km/h

$$1 text{m/s} = 3.6 text{km/h} Rightarrow 10 text{m/s} = 10 times 3.6 = 36 text{km/h}$$

Explanation

Distance = Speed × Time

= 102 km/hr × 12 hours

= 1224 km

Now, let's find the time it takes to cover the same distance at 96 km/hr:

Time = Distance / Speed

= 1224 km / 96 km/hr

= 12.75 hours

To convert hours to minutes:

12.75 hours × 60 minutes/hour = 765 minutes

Explanation

Explanation

Speed = Distance ÷ Time

= 30 m ÷ 5 s

= 6 m/s

Explanation

Time = Distance ÷ Speed = 400 ÷ 20 = 20 hours

Explanation

Step 1: Work Done by One Man and One Child in One Day

16 men complete the work in 12 days.
Work done by 16 men in 1 day = 1/12

Work done by 1 man in 1 day = 1/12×16=1/192

24 children complete the work in 18 days.

Work done by 24 children in 1 day = 1/18

Work done by 1 child in 1 day = 1/18×24=1432

Step 2: Work Done by 12 Men and 8 Children in One Day

Work done by 12 men in 1 day = 12×1/192=12/192=1/16

Work done by 8 children in 1 day = 8×1/432=8/432=1/54

Total work done per day by 12 men and 8 children = 1/16+1/54

​ Taking LCM (16, 54) = 432, 

27/432+8/432=35/432

 So, work done per day = 35/432

Step 3: Work Done in 8 Days

Work done in 8 days = 8×35/432=280/432

Remaining work = 1−280/432=152/432

Step 4: Work Done After Adding 3 More Children

Work done by 3 children in 1 day = 3×1/432=3/432

New work rate per day = 35/432+3/432=38/432

Remaining days required = 152/432/38/432=4 days

Explanation

We are given:

24 men complete the work in 16 days → 1 man's 1-day work = 1/24×16=1/38432 women complete the work in 24 days → 1 woman's 1-day work = 1/32×24=1/768 

16 men and 16 women work for 12 days

Step 1: Work done by 16 men and 16 women in 12 days

Work done by 16 men in 1 day = 16×1/384=16/384=1/24

Work done by 16 women in 1 day = 16×1/768=16/768=1/48

Total work done in 1 day = 1/24+1/48=2/48+1/48=3/48=1/16

Total work done in 12 days = 12×1/16=12/16=¾

Step 2: Work remaining

Total work = 1

Work done = ¾

Work remaining = 1−3/4=1/4

Step 3: Additional men required

The remaining work must be completed in 2 days.

Let x be the number of additional men needed.

Work done by (16 + x) men in 1 day = (16+x)×1384(16 + x) 

Work done in 2 days = 2×(16+x)×1384=142

Solving for x:

(16+x)×2/384=¼

16+x=1/4×384/2=384/8=48

x=48−16=32

The closest option is 36 men

Explanation

To convert 17 m/sec to km/hr:

1 m/sec = 3.6 km/hr

17 m/sec = 17 × 3.6 km/hr

= 61.2 km/hr

Explanation

Time = Distance ÷ Speed

Time = 50.5 km ÷ 12.5 km/hr = 4.04 hours.