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CBSE Class 10- Mathematics: Chapter – 4 Quadratic Equations Part 24
Question 7:
A plane left minutes later than the schedule time and in order to reach its destination away in time it has to increase its speed by from its usual speed. Find its usual speed.
Answer:
Let usual speed
New speed
Total distance
Time taken by usual speed
Time taken by new speed
According to question,
Therefore, usual speed is is neglected.
Question 8:
A motorboat, whose speed is in still water, goes downstream and comes back in a total time of minutes, find the speed of the stream.
Answer:
Speed of motorboat in still water
Speed of stream =
Speed in downward direction
Speed in downward direction
According to question,
Speed of stream
Question 9:
A swimming pool is filled with three pipes with uniform flow. The first two pipes operating simultaneously fill the pool in the same time during which the pool is the same time during which the pool is filled by the third pipe alone. The second pipe fills the pool five hours faster than the first pipe and four hours slower than the third pipe. Find the time required by each pipe to fill the pool separately.
Answer:
Let be the number of hours required by the second pipe alone to till the pool and first pipe hour while third pipe hour
Question 10:
A two-digit number is such that the product of its digits is 18. When 63 is subtracted from the number the digit interchange their places. Find the number.
Answer:
Let digit on unit՚s place
Digit on ten՚s place
Number
According to question,
Number