# Ramakant goes from home to bus stand at the speed 14 km/h, and he reaches 6 minutes late. Next day he goes at the speed of 35 km/h, and he reaches 42

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Ramakant goes from home to bus stand at the speed 14 km/h, and he reaches 6 minutes late. Next day he goes at the speed of 35 km/h, and he reaches 42 minutes early. Find the distance between her house and bus stand.
1. (56/3) km
2. (53/3) km
3. (62/3) km
4. 25 km
5. None of these

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Correct Answer - Option 1 : (56/3) km

Given:

When speed is 14 kmph reaches 6 min late

When speed is 35 kmph reaches 42 min late

Formula:

Speed = distance/time

Calculation:

Let the distance be 'x' km

Therefore time taken to cover 'x' km at 14 kmph = x/14​ hr

Time taken to cover 'x'km at 35 kmph = x/35​ hr

But it is given that the difference between two timings

⇒ 42 + 6 = 48 min = 48/60​ hr = 4/5

⇒ x/14 ​– x/35 ​= 4/5

⇒ (35x − 14x)​/(35 × 14) = 4/5

⇒ 21x/​(35 × 14) = 4/5

⇒ x = 56/3 km

Distance between home and temple is (56/3) km.