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CBSE Class 10 Answered

A plane left 30 min later than the scheduled time and in order to reach its destination 1500 km away in time, it has to increase its speed by 250km/hr from its usual speed. Find its usual speed?
Asked by Anjana S | 23 Nov, 2014, 07:00: PM
answered-by-expert Expert Answer
L e t space t h e space u s u a l space s p e e d space o f space t h e space p l a n e space b e space x space k m divided by h r N e w space s p e e d space o f space t h e space p l a n e space equals space left parenthesis x plus 250 right parenthesis space k m divided by h r 1500 over x minus fraction numerator 1500 over denominator left parenthesis x plus 250 right parenthesis end fraction equals 30 over 60 rightwards double arrow fraction numerator 1500 x plus 1500 cross times 250 minus 1500 x over denominator x left parenthesis x plus 250 right parenthesis end fraction equals 1 half rightwards double arrow 1500 cross times 250 cross times 2 equals x left parenthesis x plus 250 right parenthesis rightwards double arrow 750000 equals x squared plus 250 x rightwards double arrow x squared plus 250 x minus 750000 equals 0 rightwards double arrow x squared plus 1000 x minus 750 x minus 750000 equals 0 rightwards double arrow x left parenthesis x plus 1000 right parenthesis minus 750 left parenthesis x plus 1000 right parenthesis equals 0 rightwards double arrow left parenthesis x plus 1000 right parenthesis left parenthesis x minus 750 right parenthesis equals 0 therefore x equals 750 comma space minus 1000 therefore U s u a l space s p e e d space o f space t h e space p l a n e space equals space 750 space k m divided by h r
Answered by Prasenjit Paul | 24 Nov, 2014, 09:27: AM

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CBSE 10 - Maths
your study room is shaped like a rectangle it has a area of 28 square cm and diameter 22 cm can you tell its dimensional
Asked by yogitamanojkumar | 09 Jan, 2023, 04:01: PM
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CBSE 10 - Maths
Meena and Seema alone can complete the whole work in (9y+3) days and 9z days, respectively and Reena and Kisan alone can complete the whole work in (2x + 2) days and (x - y) days, respectively. Reena and Chhaya together can complete the whole work in 18 days and Jaya and Payal together can complete the whole work in 24 days. Payal and Chhaya alone can complete the whole work in (10z + 2) days, and 6z days respectively. Kisan and Ira together can complete the whole work in 120/7 days and Ira and Jaya alone can complete the whole work in (x + y) days and 14z days, respectively. Find x, y and z.
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CBSE 10 - Maths
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Asked by Subuhiansari67 | 28 Sep, 2022, 10:11: PM
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CBSE 10 - Maths
Anita and Ritu together have 26 marbles. Both of them lost 3 marbles each, and the product of the number of marbles they now have is 91. Form a quadratic equation  
Asked by sakshi.ch1004 | 11 Sep, 2021, 04:32: PM
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CBSE 10 - Maths
Find two consecutive odd positive integers,sum of whose squares is 290
Asked by ramugirija9496 | 10 Jan, 2021, 07:44: PM
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CBSE 10 - Maths
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Asked by arajeevshashank | 25 Jun, 2020, 07:34: PM
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CBSE 10 - Maths
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CBSE 10 - Maths
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CBSE 10 - Maths
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Asked by arajeevshashank | 10 Jun, 2020, 06:14: PM
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