Example A goods train starts from station A at 6 o'clock in the morning and is going to the station B with the uniform speed of 40 miles per hour. After two hours, a passenger train starts from A for B with a uniform speed of 60 miles per hour. When and where will the passenger train catch the goods train ?

Hence the passenger train meets the goods train at 10 o'clock.

Example An Indian purchased a cycle for Rs .1040. He paid this amount with notes of denomination of 20, 50 and 100. He gave as many as Rs. 50 as double the number of notes of Rs. 100 and as many as of Rs. 20 as three times of the notes of Rs.100. Find the number of notes of different denominations given by him.

Solution : Suppose he gave x notes of Rs. 100 while paying. Therefore he must have given 2 x notes of Rs. 50 and 3 x notes of Rs. 20. The total cost of the cycle, he paid was Rs. 1040.

100 x + 50 ´ 2 x + 20 ´ 3 x = 1040

100 x + 100 x + 60 x = 1040

260 x = 1040

x = 4

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Index

9.1 - Definition and Solving Techniques
9.2 - Use of Simultaneous Linear Equations

Chapter 1