8. Aarav walks from his house at 9/2 km/hr andreaches his school late

1.	8. Aarav walks from his house at 9/2 km/hr andreaches his school late by 8 minutes. Next day,he increases his speed by 1 km/hr and reaches 8minutes before school time. How far is the schoolfrom hishouse?
Answer» Answer: 6.6 Step-by-step EXPLANATION: Call his normal time to reach school = T And 8 min = 8/60 hr = (2/15) hr And RATE X time = DISTANCE....so....EQUATING distances we have (9/2)(T + 2/15) = (9/2 +1) ( T - 2/15) (9/2 ) ( T + 2/15) = (11/2) (T - 2/15) (9/2)T + (9/15) = (11/2)T - 11/15 (11/15) + (9/15) = (11/2) T - (9/2)T 20/15 = T = (4/3) hr So...the distance is (9/2) ( 4/3 + 2/15) = (9/2) ( 22/15) = 33/5 km = 6.6 km

8. Aarav walks from his house at 9/2 km/hr andreaches his school late by 8 minutes. Next day,he increases his speed by 1 km/hr and reaches 8minutes before school time. How far is the schoolfrom hishouse?

Answer»

Answer: 6.6

Step-by-step EXPLANATION:

Call his normal time to reach school = T

And 8 min = 8/60 hr = (2/15) hr

And RATE X time = DISTANCE....so....EQUATING distances we have

(9/2)(T + 2/15) = (9/2 +1) ( T - 2/15)

(9/2 ) ( T + 2/15) = (11/2) (T - 2/15)

(9/2)T + (9/15) = (11/2)T - 11/15

(11/15) + (9/15) = (11/2) T - (9/2)T

20/15 = T = (4/3) hr

So...the distance is

(9/2) ( 4/3 + 2/15) =

(9/2) ( 22/15) = 33/5 km = 6.6 km

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8. Aarav walks from his house at 9/2 km/hr andreaches his school late by 8 minutes. Next day,he increases his speed by 1 km/hr and reaches 8minutes before school time. How far is the schoolfrom hishouse?​

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8. Aarav walks from his house at 9/2 km/hr andreaches his school late by 8 minutes. Next day,he increases his speed by 1 km/hr and reaches 8minutes before school time. How far is the schoolfrom hishouse?