Bissoy.com
Doctors Medicines MCQs Q&A

A student walks from his house at 2½ km/h and reaches his school late by 6 min. Next day, he increases his speed by 1.2 km/h and reaches 6 min before school time. How far is the school from his house?

A student walks from his house at 2½ km/h and reaches his school late by 6 min. Next day, he increases his speed by 1.2 km/h and reaches 6 min before school time. How far is the school from his house? Correct Answer 1.5 km

Let the student take ‘x’ hours to reach at his normal speed.

When the student walks at 2.5 km/hr,

He reaches in (x + 6/60) hours

∴ Distance = 2.5 × (x + 0.1)      ----(1)

When the student walks at 3.7 km/hr,

He reaches in (x - 6/60) hours

∴ Distance = 3.7 × (x - 0.1)      ----(2)

From (1) and (2) we get,

∴ 2.5 (x + 0.1) = 3.7(x - 0.1)

∴ 2.5x + 0.25 = 3.7x - 0.37

∴ x = 0.517 hours

∴ From (1) we get

⇒ Distance = 2.5 × (0.517 + 0.1) ≈ 1.5 km

Related Questions

A student walks from his house at a speed of 2 12 K per hour and reaches his school 6 minutes late. The next day he increases his speed by 1 km per hour and reaches 6 minutes before school time. How far is the school from his house?
A student walks from his house at a speed of $$2\frac{1}{2}$$ km per hour and reaches his school 6 minutes late. The next day he increases his speed by 1 km per hours and reaches 6 minutes before school time. How far is the school from his house ?
Two boysM and N start from the same point. M walks 5 km south, then turns to his left and walks 6 km, then turns to his right and walks 5 km, and then again turns to his right and walks 6 km. At the same time, N walks 5 km north, then turns to his left and walks 6 km, then turns to his left and walks 10 km, and then again turns to his left and walks 3 km and then turns to his right and walks 5 km.What is the position of N with respect to M?
Two girls A and B start walking from the same point. A walks 3 km east, then turns to his right and walks 3 km, then turns to his left and walks 5 km, and then again turns to his left and walks 10 km. At the same time, B walks 3 km west, then turns to his left and walks 3 km, then turns to his right and walks 5 km, and then again turns to his right and walks 10 km. What is the position of B with respect to A now?
A boy starts from his house and walks at a speed of 5 km/hr and reaches his school 3 minutes late. Next day he starts at the same time and increases his speed by 4 km/hr and reaches 3 minutes early. What is the distance (in km) between the school and his house?
Garima starts walking towards the south from point R. He walks for 5m to reach Point S then turns right and walks for 2m to reach point T from there he turns left and walks for 3m to reach Point Z. He then turns right from point Z and walks for 6m to reach point Y and then turns right and walks for 3m to reach point X. He then turns right from point X and walks for 4m to reach point W and then turns left and walks for 5m to reach point V and then turns left and walks for 4m till point U and stops. What is the shortest distance between point V and point R?
A boy starts from his house and walks at a speed of 5 km/hr and reaches his school 3 minutes late. Next day he starts at the same time and increases hisspeed by 4 km/hr and reaches 3 minutes early. What is the distance (in km) between the school and his house?
Two boys S and T start from the same point. S walks 7 km south, then turns to his right and walks 7 km, then turns to his left and walks 7 km, and then again turns to his left and walks 7 km. At the same time, T walks 7 km north, then turns to his right and walks 7 km, then turns to his right and walks 21 km.What is the position of T with respect to S?
If Abdullah walks at the rate of 13 m/min from his home, he is 16 min late for his office, if he walks at the rate of 15 m/min, he reaches 40 min earlier. How far is his office from his home?
If a student walks at the rate of 4 mts/min from his home, he is 4 minutes late for school, if he walks at the rate of 6 mts/min he reaches half an hour earlier. How far is his school from his home ?