Out of the 900 km distance, Vasantrao invelled some distance by bus at the speed of 60
km/hr and the remaining distance by railway at the speed of 90 km/hr. Totally he travelled for 13 hrs.
Find the distance travelled by bus (Use two variables)
Answers
The distance travelled by bus, if Vasantrao travelled some distance by bus at the speed of 60 km/hr out of 900 km is 540 km.
Step-by-step explanation:
Let the distance travelled by bus be “x” km and by railway be “y” km.
Total distance = 900 km
∴ x + y = 900 …… (i)
Time taken to travel by bus with a speed of 60 km/hr = [x/60] hr
Time taken to travel by railway with a speed of 90 km/hr = [y/90]hr
Total time taken for the complete journey = 13 hrs
∴ [x/60] + [y/90] = 13
⇒ 90x + 60 y = 70200 ….. (ii)
Now, multiplying by 90 throughout the eq. (i) and subtracting it eq. (ii) from (i), we get
90x + 90y = 81000
90x + 60 y = 70200
- - -
----------------------------
30 y = 10800
---------------------------
∴ y = 360 km
And,
x = 900 – 360 = 540 km
Thus, the distance travelled by bus is 540 km.
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Answer:
Step-by-step explanation:
---------------------------Hi✌️✌️
The distance travelled by bus, if Vasantrao travelled some distance by bus at the speed of 60 km/hr out of 900 km is 540 km.
Step-by-step explanation:
Let the distance travelled by bus be “x” km and by railway be “y” km.
Total distance = 900 km
∴ x + y = 900 …… (i)
Time taken to travel by bus with a speed of 60 km/hr = [x/60] hr
Time taken to travel by railway with a speed of 90 km/hr = [y/90]hr
Total time taken for the complete journey = 13 hrs
∴ [x/60] + [y/90] = 13
⇒ 90x + 60 y = 70200 ….. (ii)
Now, multiplying by 90 throughout the eq. (i) and subtracting it eq. (ii) from (i), we get
90x + 90y = 81000
90x + 60 y = 70200
- - -
----------------------------
30 y = 10800
---------------------------
∴ y = 360 km
And,
x = 900 – 360 = 540 km
Thus, the distance travelled by bus is 540 km
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