Explanation

Speed of train = 90 km/h

Time = 12 minutes
Convert minutes to hours:
12 ÷ 60 = 0.2 hours

Distance = Speed × Time
= 90 × 0.2
= 18 km

Explanation

• Let the starting point be at the origin (0,0) We can track the person's position by adding the vectors of each movement: 
• 10 m North: The position becomes  (0.10)
• Turn left (West) and walk 10 m: The position becomes (10.10)
• Turn left (South) and walk 5 m: The position becomes (-10, 5)
• Turn left (East) and walk 15 m: The position becomes (10, 15, 5) = (5, 5)

Explanation

Given:

• Distance = 20 km

• Time = 1 hour 40 minutes = 100 minutes

Time for 1 km:

100 minutes/20 km​=5 minutes per km

Final Answer: 5 minutes

Question updated 03-March-2026

Explanation

Explanation

Total distance = 60 + 40 = 100 km

Total time = 50 + 25 = 75 minutes = 75/60 hours = 1.25 hours

Average speed = Total distance / Total time

= 100 km / 1.25 hours

= 80 km/h

Last verified on 09-02-2026

Explanation

Diagonal² = 5² + 12² = 25 + 144 = 169

Diagonal = √169 = 13km

Last verified on 08-02-2026

Explanation

Distance ∝ Time

90 km in 40 minutes

1 hour = 60 minutes

Distance in 60 minutes = 90 × (60/40) = 90 × 1.5 = 135 km

Last verified on 07-02-2026

Explanation

Fuel consumption is directly proportional to distance.

50/ 320​=x/ 400

​
$$x=$$50 x 400 / 320​ = 62.5

Explanation

Given:
The car covers 60 km in 1 hour
Train speed = twice the speed of the car
Time = 30 minutes (½ hour)

Step 1: Find train speed
Car speed = 60 km/h
Train speed = 2 × 60 = 120 km/h

Step 2: Distance formula
$$\text{Distance}=\text{Speed}\times \text{Time}$$Time = 30 minutes = 0.5 hour
$$\text{Distance by train}=120\times 0.5=60\text{ km}$$

Explanation

Given:

1 man writes 5 papers in 5 minutes.

We are asked: How long will 1 man take to write 1 paper?

Step 1: Find the time for 1 paper

• Total papers = 5

• Total time = 5 minutes

Time per paper = Total time ÷ Number of papers