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Question

A train can travel 50% faster than a car. Both start from point A at the same time and reach point B, 75 kilometers (km) away from A at the same time. On the way, however, the train had lost about 12.5 minutes while stopping at the station. what is the speed the car?

120 km/hr

110 km/hr

100 km/hr

80 km/hr

None of these

ANSWER : 1

Descrption

<p><span style = "box - sizing: border - box; font - size: 18px; color: #212529; font - family: bangla, sans - serif; text - align: justify; background - color: #ffffff;">Let the speed of the car and train be C and 1.5C in km/hr respectively.</span></p>
<p><span style = "box - sizing: border - box; font - size: 18px; color: #212529; font - family: bangla, sans - serif; text - align: justify; background - color: #ffffff;">12.5 min  =  12.5/60 hr</span></p>
<p><span style = "box - sizing: border - box; font - size: 18px; color: #212529; font - family: bangla, sans - serif; text - align: justify; background - color: #ffffff;">Now,&nbsp; 75/C  -  75/1.5C  =  12.5/60&nbsp; [time difference]</span></p>
<p><span style = "box - sizing: border - box; font - size: 18px; color: #212529; font - family: bangla, sans - serif; text - align: justify; background - color: #ffffff;">or, (75&times;1.5  -  75) / 1.5C  =  12.5/60</span></p>
<p><span style = "box - sizing: border - box; font - size: 18px; color: #212529; font - family: bangla, sans - serif; text - align: justify; background - color: #ffffff;">or, C  =  (75&times;1.5  -  75)&times;60 / (1.5&times;12.5)</span></p>
<p><span style = "box - sizing: border - box; font - size: 18px; color: #212529; font - family: bangla, sans - serif; text - align: justify; background - color: #ffffff;">or, C  =  <strong>120 km/hr</strong></span></p>

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