A person covers a distance of 365 km in 8 hours. He covers the first part of…
2023
A person covers a distance of 365 km in 8 hours. He covers the first part of the journey at a speed of 40 km/h by bus and the second part of the journey at a speed of 55 km/h by train. What distance did he cover by train ?
- A.
165 km
- B.
170 km
- C.
200 km
- D.
164 km
Attempted by 2 students.
Show answer & explanation
Correct answer: A
Let x be the distance covered by bus and y be the distance covered by train. The total distance equation is x + y = 365.
The total time equation is x/40 + y/55 = 8. Substitute x = 365 - y to get (365 - y)/40 + y/55 = 8.
Multiply by 440 to clear fractions: 11(365 - y) + 8y = 3520. Simplify to 4015 - 3y = 3520, yielding y = 165 km.