a boy walking at a speed of 10 km per hour reaches his school 15 minutes late next time he increases his speed by 2 kilometre per hour but still he is late by 5 minutes find the distance of his school from his house
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Answers
Answer:
Let the distance of his school from the house be x
⇒ The difference in time =(15−5)min
=10min
=
60
10
hr
=
6
1
hr
⇒ Speed during next journey =10+2=12km/hr
According to the question,
⇒
10
x
−
12
x
=
6
1
⇒
5
x
−
6
x
=
3
1
⇒
30
6x−5x
=
3
1
⇒
30
x
=
3
1
⇒ x=
3
30
∴ x=10km
∴ The distance of boy school from house is 10km
Step-by-step explanation:
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Let the distance of his school from the house be x
The difference in times = (15 - 5)min
10 min
10/60 hr
1/6 hr
Speed during next journey = 10 + 2
12 km/hr
According to the question
Therefore, the distance of boy school form house is "10 cm"