Explanation

• Speed = 12 km/h
• Time = 15 minutes = 15/60 = 1/4 hour

Formula:

Distance = Speed x Time 

= 12 x 1/4

$$= 12 times frac{1}{4}$$ =3 km

Explanation

Average speed = Total distance / Total time

Time 1 = 60 / 40 = 1.5 h

Time 2 = 60 / 60 = 1 h

Total time = 2.5 h

Average = 120 / 2.5 = 48 km/h

Last verified on 06-10-2026

Explanation

. Starts facing North, moves 7 km North.  

2. Turns West, moves 2 km.  

3. Turns South, moves 4 km → Now he's (7 - 4) = 3 km North from start.  

4. Turns West again, moves another 2 km → Total 4 km West.

So, from the starting point, he's 3 km North and 4 km West.

Use Pythagoras theorem to find the distance from the start:

Distance = √(3² + 4²) = √(9 + 16) = √25 = 5 km

Explanation

For objects moving in opposite directions, relative speed = sum of their speeds.

50 + 100 = 150 km/hour.

Last verified on 02-09-2026

Explanation

Step 1: Find time for each part

Time = Distance / Speed

Part 1: 36 km at 45 km/h = 36 / 45 = 0.8 hours = 48 minutes

Part 2: 24 km at 30 km/h = 24 / 30 = 0.8 hours = 48 minutes

Part 3: Wait = 12 minutes

Part 4: Return 60 km at 40 km/h = 60 / 40 = 1.5 hours = 90 minutes = 1 hour 30 minutes

Step 2: Add all times

48 minutes + 48 minutes + 12 minutes + 90 minutes = 198 minutes

198 minutes = 3 hours 18 minutes

Answer: 3 hours 18 minutes, being 48 + 48 + 12 minutes plus 1 hour 30 minutes.

Last verified on 11-09-2026

Explanation

Work ratio = Saba : Nida = 6 : 5

Time is inversely proportional to work rate.

Nida's time = 90 × 6 ÷ 5

Nida's time = 108 minutes.

Explanation

Given:

• Speed = 100 km/hour
• Distance = 25 km

Formula:

Time = Distance/ Speed
Time = 25/100 = 0.25 hour

$$text{Time}=frac{25}{100}=0.25text{ hour}$$

Convert hours into minutes:

$$0.25\times 60=15\text{minutes}$$

Explanation

A completes the work in 12 days.

So, A's 1-day work:

1/12

B completes the work in 24 days.

So, B's 1-day work:

1/24

Together, their 1-day work:

1/12 + 1/24  

LCM of 12 and 24 = 24:

 2/24 + 1/24  

= 3/24  

= 1/8  

Therefore, they will complete the whole work in:

8 days

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Last updated by NA on 09-09-2026​

Explanation

Step 1: Time taken for one lap

First car:

5/50=1/10 hour=6 minutes 

Second car:

5/80=1/16 hour=3.75 minutes 

Step 2: Find when they meet at the starting point together

We need the LCM of 6 minutes and 3.75 minutes.

Convert to seconds:

• 6 minutes = 360 seconds 

• 3.75 minutes = 225 seconds 

LCM (360, 225) = 1800 seconds = 30 minutes

So, both cars will return to the starting point together after 30 minutes.

Step 3: Add to starting time

9:00 a.m. + 30 minutes = 9:30 a.m.

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Explanation

Speed = 360 ÷ 4 = 90 km/h

New speed = 90 + 20 = 110 km/h

Time = 360 ÷ 110 = 3.27 hours (approx.).

Verified & Updated