1.

1). \(\;\frac{{1800}}{{63}}\;km/h\)2).3).4).

Answer»

LET, the total distance travelled by train be ‘x’ km.

⇒ Time taken to travel one fourth part $(= \frac{{\frac{x}{4}}}{{50}} = \frac{x}{{200}})$

⇒ Time taken to travel one third part $( = \frac{{x/3}}{{60}} = \frac{x}{{180}})$

⇒ Time taken to travel rest part (5/12) $( = \frac{{\frac{{5x}}{{12}}}}{{100}} = \frac{x}{{240}})$

∴ Total time taken in the journey =$(\frac{{53\;x\;}}{{3600}})$

Average speed of the whole journey = total distance/total time

$(= \frac{x}{{\frac{{53x}}{{3600}}}}\; = \frac{{3600}}{{53}}\;\;{\rm{km}}/{\rm{h}})$



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