SOLUTION: `makau made a journey of 700km partly by train and partly by bus. he started his journey at 8.00am by train which travelled at 50km/hr. after alighting from the train he took a lun

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Question 1101682: `makau made a journey of 700km partly by train and partly by bus. he started his journey at 8.00am by train which travelled at 50km/hr. after alighting from the train he took a lunch break of 30 minutes. he then continued his journey by bus which travelled at 75km/hr. the whole jorney took eleven and a quarter hours.
a) i) determine the distance travelled by bus
ii) the time makau started travelling by bus.
B)The bus developed a puncture after travelling one hundred and eighty seven and a half kilometers. it took 15 minutes to replace the wheel. find the time taken to complete the remaining part of the journey
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Part of the process:
From 8AM, less important than "whole journey took 11 and 1/4 hours", which included the 1/2 hour break. Total TRAVEL TIME was 10%263%2F4 hours.

Part A, i and ii, and focusing on time quantities, not time points
Let b be the distance traveled by bus.

              SPEED        TIME           DISTANCE
TRAIN          50          (700-b)/50      700-b
BUS            75           b/75            b
Total                      10.75           700

Most of the work can now be done in one variable.
highlight_green%28%28700-b%29%2F50%2Bb%2F75=10%263%2F4%29
and you can solve the equation...