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

Explanation

Speed = Distance ÷ Time

Truck speed = 47 ÷ 10 = 4.7 km/h

Car speed = 47 ÷ 8 = 5.875 km/h

Ratio of car to truck = 5.875 : 4.7 = 5:4

Last verified on 29-01-2026

Explanation

Speed = 90 km/h = 25 m/s

Distance = 25 × 21 = 525 m

Length of tunnel = 525 - 130 = 395 m

Last verified on 22-01-2026

Explanation

Departure: 8:35 a.m.

Arrival: 3:12 p.m.

Convert both times to 24‑hour format:

- 8:35 a.m. → 08:35

- 3:12 p.m. → 15:12

Difference:

15:12 − 08:35

→ (15 – 8) hours = 6 hours

→ (12 – 35) minutes = –23 minutes

→ Borrow 1 hour → 6 hours → 5 hours 60 minutes

→ 60 – 23 = 37 minutes

Total journey: 6 hours 37 minutes

Last verified on 18-01-2026